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12492335484 = 223531478821
BaseRepresentation
bin10111010001001100…
…11110100101111100
31012020121112101200000
423220212132211330
5201041014213414
65423334034300
7621400046106
oct135046364574
935217471600
1012492335484
115330663602
1225077a8990
1312411650b5
1486717a576
154d1ac2b09
hex2e899e97c

12492335484 has 144 divisors (see below), whose sum is σ = 34526908416. Its totient is φ = 3943598400.

The previous prime is 12492335467. The next prime is 12492335489. The reversal of 12492335484 is 48453329421.

12492335484 is a `hidden beast` number, since 1 + 2 + 492 + 33 + 54 + 84 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12492335489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1411794 + ... + 1420614.

Almost surely, 212492335484 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 12492335484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17263454208).

12492335484 is an abundant number, since it is smaller than the sum of its proper divisors (22034572932).

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

12492335484 is a wasteful number, since it uses less digits than its factorization.

12492335484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8918 (or 8904 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 12492335484 in words is "twelve billion, four hundred ninety-two million, three hundred thirty-five thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 47 54 62 81 93 94 108 124 141 162 186 188 243 279 282 324 372 423 486 558 564 837 846 972 1116 1269 1457 1674 1692 2511 2538 2914 3348 3807 4371 5022 5076 5828 7533 7614 8742 8821 10044 11421 13113 15066 15228 17484 17642 22842 26226 26463 30132 35284 39339 45684 52452 52926 78678 79389 105852 118017 157356 158778 236034 238167 273451 317556 354051 414587 472068 476334 546902 708102 714501 820353 829174 952668 1093804 1243761 1416204 1429002 1640706 1658348 2143503 2461059 2487522 2858004 3281412 3731283 4287006 4922118 4975044 7383177 7462566 8574012 9844236 11193849 12852197 14766354 14925132 22149531 22387698 25704394 29532708 33581547 38556591 44299062 44775396 51408788 66448593 67163094 77113182 88598124 100744641 115669773 132897186 134326188 154226364 201489282 231339546 265794372 347009319 402978564 462679092 694018638 1041027957 1388037276 2082055914 3123083871 4164111828 6246167742 12492335484