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46504060368 = 2434379307929
BaseRepresentation
bin101011010011110110…
…111010010111010000
311110000221121001000020
4223103312322113100
51230220014412433
633210315223440
73234261663633
oct532366722720
9143027531006
1046504060368
11187a4369947
12901a147b80
1345016c55ac
14237230bc1a
1513229dacb3
hexad3dba5d0

46504060368 has 160 divisors (see below), whose sum is σ = 125025331200. Its totient is φ = 14884466688.

The previous prime is 46504060363. The next prime is 46504060373. The reversal of 46504060368 is 86306040564.

It is an interprime number because it is at equal distance from previous prime (46504060363) and next prime (46504060373).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46504060363) 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, 50057728 + ... + 50058656.

It is an arithmetic number, because the mean of its divisors is an integer number (781408320).

Almost surely, 246504060368 is an apocalyptic number.

46504060368 is a gapful number since it is divisible by the number (48) 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 46504060368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62512665600).

46504060368 is an abundant number, since it is smaller than the sum of its proper divisors (78521270832).

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

46504060368 is a wasteful number, since it uses less digits than its factorization.

46504060368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 46504060368 in words is "forty-six billion, five hundred four million, sixty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 79 86 129 158 172 237 258 307 316 344 474 516 614 632 688 921 929 948 1032 1228 1264 1842 1858 1896 2064 2456 2787 3397 3684 3716 3792 4912 5574 6794 7368 7432 10191 11148 13201 13588 14736 14864 20382 22296 24253 26402 27176 39603 39947 40764 44592 48506 52804 54352 72759 73391 79206 79894 81528 97012 105608 119841 145518 146782 158412 159788 163056 194024 211216 220173 239682 285203 291036 293564 316824 319576 388048 440346 479364 570406 582072 587128 633648 639152 855609 880692 958728 1042879 1140812 1164144 1174256 1711218 1761384 1917456 2085758 2281624 3128637 3155813 3422436 3522768 4171516 4563248 6257274 6311626 6844872 8343032 9467439 12263729 12514548 12623252 13689744 16686064 18934878 22531037 24527458 25029096 25246504 36791187 37869756 45062074 49054916 50058192 50493008 67593111 73582374 75739512 90124148 98109832 135186222 147164748 151479024 180248296 196219664 270372444 294329496 360496592 540744888 588658992 968834591 1081489776 1937669182 2906503773 3875338364 5813007546 7750676728 11626015092 15501353456 23252030184 46504060368