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21461661936 = 24331113347411
BaseRepresentation
bin10011111111001101…
…101111100011110000
32001101200220101111000
4103333031233203300
5322423141140221
613505341522000
71356561054651
oct237715574360
961350811430
1021461661936
1191136042a0
1241ab573300
132040465960
141078489528
15859240e26
hex4ff36f8f0

21461661936 has 160 divisors (see below), whose sum is σ = 72372867840. Its totient is φ = 6003244800.

The previous prime is 21461661913. The next prime is 21461661943. The reversal of 21461661936 is 63916616412.

21461661936 is a `hidden beast` number, since 2 + 14 + 6 + 16 + 619 + 3 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21461661891 and 21461661900.

It is a congruent number.

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, 111930 + ... + 235481.

It is an arithmetic number, because the mean of its divisors is an integer number (452330424).

Almost surely, 221461661936 is an apocalyptic number.

21461661936 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

21461661936 is an abundant number, since it is smaller than the sum of its proper divisors (50911205904).

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

21461661936 is a wasteful number, since it uses less digits than its factorization.

21461661936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347452 (or 347440 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 21461661936 in words is "twenty-one billion, four hundred sixty-one million, six hundred sixty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 88 99 104 108 117 132 143 144 156 176 198 208 216 234 264 286 297 312 351 396 429 432 468 528 572 594 624 702 792 858 936 1144 1188 1287 1404 1584 1716 1872 2288 2376 2574 2808 3432 3861 4752 5148 5616 6864 7722 10296 15444 20592 30888 61776 347411 694822 1042233 1389644 2084466 2779288 3126699 3821521 4168932 4516343 5558576 6253398 7643042 8337864 9032686 9380097 11464563 12506796 13549029 15286084 16675728 18065372 18760194 22929126 25013592 27098058 30572168 34393689 36130744 37520388 40647087 45858252 49679773 50027184 54196116 61144336 68787378 72261488 75040776 81294174 91716504 99359546 103181067 108392232 121941261 137574756 149039319 150081552 162588348 183433008 198719092 206362134 216784464 243882522 275149512 298078638 325176696 397438184 412724268 447117957 487765044 550299024 596157276 650353392 794876368 825448536 894235914 975530088 1192314552 1341353871 1650897072 1788471828 1951060176 2384629104 2682707742 3576943656 5365415484 7153887312 10730830968 21461661936