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404464970832 = 243135319363367
BaseRepresentation
bin1011110001010111111…
…11011010110001010000
31102122222212012101111220
411320223333122301100
523111321013031312
6505450400005040
741136006345456
oct5705377326120
91378885171456
10404464970832
11146594a2803a
126647a600780
132c1aa69ba10
141580d1909d6
15a7c38b7c8c
hex5e2bfdac50

404464970832 has 160 divisors (see below), whose sum is σ = 1152431739648. Its totient is φ = 121468059648.

The previous prime is 404464970821. The next prime is 404464970837. The reversal of 404464970832 is 238079464404.

It is a super-2 number, since 2×4044649708322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404464970837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6351213 + ... + 6414579.

Almost surely, 2404464970832 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 404464970832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576215869824).

404464970832 is an abundant number, since it is smaller than the sum of its proper divisors (747966768816).

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

404464970832 is a wasteful number, since it uses less digits than its factorization.

404464970832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63637 (or 63631 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 404464970832 in words is "four hundred four billion, four hundred sixty-four million, nine hundred seventy thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 159 193 208 212 312 318 386 424 579 624 636 689 772 848 1158 1272 1378 1544 2067 2316 2509 2544 2756 3088 4134 4632 5018 5512 7527 8268 9264 10036 10229 11024 15054 16536 20072 20458 30108 30687 33072 40144 40916 60216 61374 63367 81832 120432 122748 126734 132977 163664 190101 245496 253468 265954 380202 398931 490992 506936 531908 760404 797862 823771 1013872 1063816 1520808 1595724 1647542 2127632 2471313 3041616 3191448 3295084 3358451 4942626 6382896 6590168 6716902 9885252 10075353 12229831 13180336 13433804 19770504 20150706 24459662 26867608 36689493 39541008 40301412 43659863 48919324 53735216 73378986 80602824 87319726 97838648 130979589 146757972 158987803 161205648 174639452 195677296 261959178 293515944 317975606 349278904 476963409 523918356 587031888 635951212 648181043 698557808 953926818 1047836712 1271902424 1296362086 1907853636 1944543129 2095673424 2543804848 2592724172 3815707272 3889086258 5185448344 7631414544 7778172516 8426353559 10370896688 15556345032 16852707118 25279060677 31112690064 33705414236 50558121354 67410828472 101116242708 134821656944 202232485416 404464970832