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51412248942064 = 24192973458317431
BaseRepresentation
bin10111011000010010110001…
…10101011101010111110000
320202000222000000200210021121
423230021120311131113300
523214314241212121224
6301202243333232024
713554261312362413
oct1354113065352760
9222028000623247
1051412248942064
11154218a323889a
125924056192614
13228c200c2365a
14c9a51a913b7a
155e253d315be4
hex2ec258d5d5f0

51412248942064 has 160 divisors (see below), whose sum is σ = 109985767603200. Its totient is φ = 23184914135040.

The previous prime is 51412248942053. The next prime is 51412248942143. The reversal of 51412248942064 is 46024984221415.

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, 2949463429 + ... + 2949480859.

It is an arithmetic number, because the mean of its divisors is an integer number (687411047520).

Almost surely, 251412248942064 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 51412248942064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54992883801600).

51412248942064 is an abundant number, since it is smaller than the sum of its proper divisors (58573518661136).

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

51412248942064 is a wasteful number, since it uses less digits than its factorization.

51412248942064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22143 (or 22137 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 52.

The spelling of 51412248942064 in words is "fifty-one trillion, four hundred twelve billion, two hundred forty-eight million, nine hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 19 29 38 58 73 76 116 146 152 232 292 304 464 551 584 1102 1168 1387 2117 2204 2774 4234 4408 4583 5548 8468 8816 9166 11096 16936 17431 18332 22192 33872 34862 36664 40223 69724 73328 80446 87077 132907 139448 160892 174154 265814 278896 321784 331189 334559 348308 505499 531628 643568 662378 669118 696616 1010998 1063256 1272463 1324756 1338236 1393232 2021996 2126512 2525233 2544926 2649512 2676472 4043992 5050466 5089852 5299024 5352944 6356621 8087984 9604481 9702211 10100932 10179704 12713242 19208962 19404422 20201864 20359408 24176797 25426484 36901427 38417924 38808844 40403728 48353594 50852968 73802854 76835848 77617688 79886273 96707188 101705936 147605708 153671696 155235376 159772546 184342009 193414376 295211416 319545092 368684018 386828752 590422832 639090184 701127113 737368036 1278180368 1402254226 1474736072 1517839187 2316701917 2804508452 2949472144 3035678374 4633403834 5609016904 5831697929 6071356748 9266807668 11218033808 11663395858 12142713496 18533615336 23326791716 24285426992 37067230672 44017336423 46653583432 88034672846 93307166864 110802260651 169119239941 176069345692 221604521302 338238479882 352138691384 443209042604 676476959764 704277382768 886418085208 1352953919528 1772836170416 2705907839056 3213265558879 6426531117758 12853062235516 25706124471032 51412248942064