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204261691237938 = 232374116014672373
BaseRepresentation
bin101110011100011001100001…
…100011000010011000110010
3222210020020010110120001001100
4232130121201203002120302
5203233110420424103223
62002232305302545230
761011264061202325
oct5634314143023062
9883206113501040
10204261691237938
115a0a1995681284
121aaab34b138216
1389c8a44332c69
14386246637c7bc
1518934ae444043
hexb9c6618c2632

204261691237938 has 96 divisors (see below), whose sum is σ = 465905250104112. Its totient is φ = 64590870528000.

The previous prime is 204261691237921. The next prime is 204261691237949. The reversal of 204261691237938 is 839732196162402.

204261691237938 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 616 + 9 + 1 + 2 + 3 + 7 + 9 + 3 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 123436610701209 + 80825080536729 = 11110203^2 + 8990277^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41380720 + ... + 46053092.

Almost surely, 2204261691237938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204261691237938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232952625052056).

204261691237938 is an abundant number, since it is smaller than the sum of its proper divisors (261643558866174).

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

204261691237938 is a wasteful number, since it uses less digits than its factorization.

204261691237938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4674060 (or 4674057 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 204261691237938 in words is "two hundred four trillion, two hundred sixty-one billion, six hundred ninety-one million, two hundred thirty-seven thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 37 41 74 82 111 123 222 246 333 369 666 738 1517 1601 3034 3202 4551 4803 9102 9606 13653 14409 27306 28818 59237 65641 118474 131282 177711 196923 355422 393846 533133 590769 1066266 1181538 2428717 4672373 4857434 7286151 9344746 14017119 14572302 21858453 28034238 42051357 43716906 84102714 172877801 191567293 345755602 383134586 518633403 574701879 1037266806 1149403758 1555900209 1724105637 3111800418 3448211274 7087989841 7480469173 14175979682 14960938346 21263969523 22441407519 42527939046 44882815038 63791908569 67324222557 127583817138 134648445114 276777359401 306699236093 553554718802 613398472186 830332078203 920097708279 1660664156406 1840195416558 2490996234609 2760293124837 4981992469218 5520586249674 11347871735441 22695743470882 34043615206323 68087230412646 102130845618969 204261691237938