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21350377160 = 2357732334483
BaseRepresentation
bin10011111000100101…
…001110011011001000
32001002221111112110122
4103320211032123020
5322211144032120
613450324402412
71354040132360
oct237045163310
961087445418
1021350377160
119066805402
12417a246408
1320233a0888
14106779b9a0
1584e5aca25
hex4f894e6c8

21350377160 has 128 divisors (see below), whose sum is σ = 55904359680. Its totient is φ = 7187263488.

The previous prime is 21350377151. The next prime is 21350377193. The reversal of 21350377160 is 6177305312.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 21350377160.

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 31 ways as a sum of consecutive naturals, for example, 4760279 + ... + 4764761.

It is an arithmetic number, because the mean of its divisors is an integer number (436752810).

Almost surely, 221350377160 is an apocalyptic number.

21350377160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21350377160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27952179840).

21350377160 is an abundant number, since it is smaller than the sum of its proper divisors (34553982520).

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

21350377160 is a wasteful number, since it uses less digits than its factorization.

21350377160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4807 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

The spelling of 21350377160 in words is "twenty-one billion, three hundred fifty million, three hundred seventy-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 140 146 233 280 292 365 466 511 584 730 932 1022 1165 1460 1631 1864 2044 2330 2555 2920 3262 4088 4483 4660 5110 6524 8155 8966 9320 10220 13048 16310 17009 17932 20440 22415 31381 32620 34018 35864 44830 62762 65240 68036 85045 89660 119063 125524 136072 156905 170090 179320 238126 251048 313810 327259 340180 476252 595315 627620 654518 680360 952504 1044539 1190630 1255240 1309036 1636295 2089078 2290813 2381260 2618072 3272590 4178156 4581626 4762520 5222695 6545180 7311773 8356312 9163252 10445390 11454065 13090360 14623546 18326504 20890780 22908130 29247092 36558865 41781560 45816260 58494184 73117730 76251347 91632520 146235460 152502694 292470920 305005388 381256735 533759429 610010776 762513470 1067518858 1525026940 2135037716 2668797145 3050053880 4270075432 5337594290 10675188580 21350377160