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14973120512 = 21272611223
BaseRepresentation
bin11011111000111011…
…11011000000000000
31102122111120022221222
431330131323000000
5221131104324022
610513433534212
71040022265400
oct157435730000
942574508858
1014973120512
116393a33069
122a9a574368
1315480c752c
14a20828800
155c97a5242
hex37c77b000

14973120512 has 156 divisors (see below), whose sum is σ = 35431120656. Its totient is φ = 6306693120.

The previous prime is 14973120493. The next prime is 14973120527. The reversal of 14973120512 is 21502137941.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12242333 + ... + 12243555.

Almost surely, 214973120512 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 14973120512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17715560328).

14973120512 is an abundant number, since it is smaller than the sum of its proper divisors (20458000144).

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

14973120512 is an equidigital number, since it uses as much as digits as its factorization.

14973120512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 14973120512 in words is "fourteen billion, nine hundred seventy-three million, one hundred twenty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 64 98 112 122 128 196 224 244 256 392 427 448 488 512 784 854 896 976 1024 1223 1568 1708 1792 1952 2048 2446 2989 3136 3416 3584 3904 4096 4892 5978 6272 6832 7168 7808 8561 9784 11956 12544 13664 14336 15616 17122 19568 23912 25088 27328 28672 31232 34244 39136 47824 50176 54656 59927 62464 68488 74603 78272 95648 100352 109312 119854 124928 136976 149206 156544 191296 200704 218624 239708 249856 273952 298412 313088 382592 437248 479416 522221 547904 596824 626176 765184 874496 958832 1044442 1095808 1193648 1252352 1530368 1748992 1917664 2088884 2191616 2387296 2504704 3060736 3655547 3835328 4177768 4383232 4774592 5009408 6121472 7311094 7670656 8355536 8766464 9549184 12242944 14622188 15341312 16711072 17532928 19098368 29244376 30682624 33422144 35065856 38196736 58488752 61365248 66844288 76393472 116977504 122730496 133688576 152786944 233955008 245460992 267377152 305573888 467910016 534754304 935820032 1069508608 1871640064 2139017216 3743280128 7486560256 14973120512