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204172530125584 = 242916717325759263
BaseRepresentation
bin101110011011000110011111…
…001000011000101100010000
3222202220200222200012020102211
4232123012133020120230100
5203230130320203004314
62002123322050521504
761001656426225336
oct5633063710305420
9882820880166384
10204172530125584
115a0680a1541969
121aa96007296294
1389c050525b007
14385c008a4db56
151890ee1a719c4
hexb9b19f218b10

204172530125584 has 160 divisors (see below), whose sum is σ = 415673315205120. Its totient is φ = 97028836294656.

The previous prime is 204172530125573. The next prime is 204172530125621. The reversal of 204172530125584 is 485521035271402.

It is a super-2 number, since 2×2041725301255842 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3445164337 + ... + 3445223599.

It is an arithmetic number, because the mean of its divisors is an integer number (2597958220032).

Almost surely, 2204172530125584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204172530125584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207836657602560).

204172530125584 is an abundant number, since it is smaller than the sum of its proper divisors (211500785079536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204172530125584 is a wasteful number, since it uses less digits than its factorization.

204172530125584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59897 (or 59891 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 49.

Adding to 204172530125584 its reverse (485521035271402), we get a palindrome (689693565396986).

The spelling of 204172530125584 in words is "two hundred four trillion, one hundred seventy-two billion, five hundred thirty million, one hundred twenty-five thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 29 58 116 167 173 232 257 334 346 464 514 668 692 1028 1336 1384 2056 2672 2768 4112 4843 5017 7453 9686 10034 14906 19372 20068 28891 29812 38744 40136 42919 44461 57782 59263 59624 77488 80272 85838 88922 115564 118526 119248 171676 177844 231128 237052 343352 355688 462256 474104 686704 711376 837839 948208 1244651 1289369 1675678 1718627 2489302 2578738 3351356 3437254 4978604 5157476 6702712 6874508 7424987 9896921 9957208 10252499 10314952 13405424 13749016 14849974 15230591 19793842 19914416 20504998 20629904 27498032 29699948 30461182 39587684 41009996 59399896 60922364 79175368 82019992 118799792 121844728 158350736 164039984 215324623 243689456 287010709 297322471 430649246 441687139 574021418 594644942 861298492 883374278 1148042836 1189289884 1712167333 1722596984 1766748556 2296085672 2378579768 2543508697 2634892243 3424334666 3445193968 3533497112 4592171344 4757159536 5087017394 5269784486 6848669332 7066994224 10174034788 10539568972 13697338664 20348069576 21079137944 27394677328 40696139152 42158275888 49652852657 73761752213 76411875047 99305705314 147523504426 152823750094 198611410628 295047008852 305647500188 397222821256 440027004581 590094017704 611295000376 794445642512 880054009162 1180188035408 1222590000752 1760108018324 3520216036648 7040432073296 12760783132849 25521566265698 51043132531396 102086265062792 204172530125584