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469131162432 = 26315717219043
BaseRepresentation
bin1101101001110100110…
…01010111001101000000
31122211220120001021210020
412310322121113031000
530141240034144212
6555303232533440
745615336041352
oct6647231271500
91584816037706
10469131162432
11170a59346999
1276b070b1280
1335314a8040a
14189c56510d2
15c30aad5d8c
hex6d3a657340

469131162432 has 112 divisors (see below), whose sum is σ = 1250012914752. Its totient is φ = 155273564160.

The previous prime is 469131162421. The next prime is 469131162443. The reversal of 469131162432 is 234261131964.

It is an interprime number because it is at equal distance from previous prime (469131162421) and next prime (469131162443).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51873303 + ... + 51882345.

It is an arithmetic number, because the mean of its divisors is an integer number (11160829596).

Almost surely, 2469131162432 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 469131162432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625006457376).

469131162432 is an abundant number, since it is smaller than the sum of its proper divisors (780881752320).

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

469131162432 is a wasteful number, since it uses less digits than its factorization.

469131162432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10936 (or 10926 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The spelling of 469131162432 in words is "four hundred sixty-nine billion, one hundred thirty-one million, one hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 157 192 314 471 628 942 1256 1721 1884 2512 3442 3768 5024 5163 6884 7536 9043 10048 10326 13768 15072 18086 20652 27129 27536 30144 36172 41304 54258 55072 72344 82608 108516 110144 144688 165216 217032 270197 289376 330432 434064 540394 578752 810591 868128 1080788 1419751 1621182 1736256 2161576 2839502 3242364 4259253 4323152 5679004 6484728 8518506 8646304 11358008 12969456 15563003 17037012 17292608 22716016 25938912 31126006 34074024 45432032 46689009 51877824 62252012 68148048 90864064 93378018 124504024 136296096 186756036 249008048 272592192 373512072 498016096 747024144 996032192 1494048288 2443391471 2988096576 4886782942 7330174413 9773565884 14660348826 19547131768 29320697652 39094263536 58641395304 78188527072 117282790608 156377054144 234565581216 469131162432