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46257675672 = 23313416159281
BaseRepresentation
bin101011000101001011…
…000001110110011000
311102101202222101202010
4223011023001312120
51224213431110142
633130034305520
73225210520125
oct530513016630
9142352871663
1046257675672
111868828542a
128b6b7282a0
13449264a630
14234b6d374c
15130b06ce9c
hexac52c1d98

46257675672 has 128 divisors (see below), whose sum is σ = 129671075520. Its totient is φ = 13658112000.

The previous prime is 46257675637. The next prime is 46257675679. The reversal of 46257675672 is 27657675264.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46257675679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750672 + ... + 809952.

Almost surely, 246257675672 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 46257675672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64835537760).

46257675672 is an abundant number, since it is smaller than the sum of its proper divisors (83413399848).

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

46257675672 is a wasteful number, since it uses less digits than its factorization.

46257675672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59405 (or 59401 counting only the distinct ones).

The product of its digits is 29635200, while the sum is 57.

The spelling of 46257675672 in words is "forty-six billion, two hundred fifty-seven million, six hundred seventy-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 61 78 82 104 122 123 156 164 183 244 246 312 328 366 488 492 533 732 793 984 1066 1464 1586 1599 2132 2379 2501 3172 3198 4264 4758 5002 6344 6396 7503 9516 10004 12792 15006 19032 20008 30012 32513 59281 60024 65026 97539 118562 130052 177843 195078 237124 260104 355686 390156 474248 711372 770653 780312 1422744 1541306 2311959 2430521 3082612 3616141 4623918 4861042 6165224 7232282 7291563 9247836 9722084 10848423 14464564 14583126 18495672 19444168 21696846 28929128 29166252 31596773 43393692 47009833 58332504 63193546 86787384 94019666 94790319 126387092 141029499 148261781 188039332 189580638 252774184 282058998 296523562 376078664 379161276 444785343 564117996 593047124 758322552 889570686 1128235992 1186094248 1779141372 1927403153 3558282744 3854806306 5782209459 7709612612 11564418918 15419225224 23128837836 46257675672