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21940951296 = 283112236107
BaseRepresentation
bin10100011011110010…
…000101100100000000
32002122002202210212210
4110123302011210000
5324413340420141
614025102422120
71404501003015
oct243362054400
962562683783
1021940951296
11933a105500
124303b91940
1320b8849024
1410c1dad70c
15886367916
hex51bc85900

21940951296 has 108 divisors (see below), whose sum is σ = 64186432016. Its totient is φ = 6648744960.

The previous prime is 21940951199. The next prime is 21940951301. The reversal of 21940951296 is 69215904912.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25126 + ... + 210981.

Almost surely, 221940951296 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 21940951296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32093216008).

21940951296 is an abundant number, since it is smaller than the sum of its proper divisors (42245480720).

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

21940951296 is a wasteful number, since it uses less digits than its factorization.

21940951296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236148 (or 236123 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 21940951296 in words is "twenty-one billion, nine hundred forty million, nine hundred fifty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 528 704 726 768 968 1056 1408 1452 1936 2112 2816 2904 3872 4224 5808 7744 8448 11616 15488 23232 30976 46464 92928 236107 472214 708321 944428 1416642 1888856 2597177 2833284 3777712 5194354 5666568 7555424 7791531 10388708 11333136 15110848 15583062 20777416 22666272 28568947 30221696 31166124 41554832 45332544 57137894 60443392 62332248 83109664 85706841 90665088 114275788 124664496 166219328 171413682 181330176 228551576 249328992 332438656 342827364 457103152 498657984 664877312 685654728 914206304 997315968 1371309456 1828412608 1994631936 2742618912 3656825216 5485237824 7313650432 10970475648 21940951296