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21154703136 = 2537293107441
BaseRepresentation
bin10011101100111010…
…110010011100100000
32000121022022021011120
4103230322302130200
5321311101000021
613415054412240
71346143003230
oct235472623440
960538267146
1021154703136
118a76307636
124124801080
131cc199c628
1410497c3cc0
1583c30a2c6
hex4eceb2720

21154703136 has 96 divisors (see below), whose sum is σ = 63681303168. Its totient is φ = 6023516160.

The previous prime is 21154703107. The next prime is 21154703191. The reversal of 21154703136 is 63130745112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 21154703097 and 21154703106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143176 + ... + 250616.

It is an arithmetic number, because the mean of its divisors is an integer number (663346908).

Almost surely, 221154703136 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 21154703136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31840651584).

21154703136 is an abundant number, since it is smaller than the sum of its proper divisors (42526600032).

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

21154703136 is a wasteful number, since it uses less digits than its factorization.

21154703136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107754 (or 107746 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 21154703136 in words is "twenty-one billion, one hundred fifty-four million, seven hundred three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 293 336 586 672 879 1172 1758 2051 2344 3516 4102 4688 6153 7032 8204 9376 12306 14064 16408 24612 28128 32816 49224 65632 98448 107441 196896 214882 322323 429764 644646 752087 859528 1289292 1504174 1719056 2256261 2578584 3008348 3438112 4512522 5157168 6016696 9025044 10314336 12033392 18050088 24066784 31480213 36100176 62960426 72200352 94440639 125920852 188881278 220361491 251841704 377762556 440722982 503683408 661084473 755525112 881445964 1007366816 1322168946 1511050224 1762891928 2644337892 3022100448 3525783856 5288675784 7051567712 10577351568 21154703136