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46403830464 = 2634329319183
BaseRepresentation
bin101011001101111000…
…100100001011000000
311102202221222211102120
4223031320210023000
51230013340033324
633152335044240
73231634023315
oct531570441300
9142687884376
1046403830464
1118752830712
128bb0670680
1344b6a01264
142362c9ad0c
151318cdd179
hexacde242c0

46403830464 has 112 divisors (see below), whose sum is σ = 126067425792. Its totient is φ = 15055875072.

The previous prime is 46403830433. The next prime is 46403830469.

46403830464 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (46403830469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2409417 + ... + 2428599.

It is an arithmetic number, because the mean of its divisors is an integer number (1125602016).

Almost surely, 246403830464 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 46403830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63033712896).

46403830464 is an abundant number, since it is smaller than the sum of its proper divisors (79663595328).

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

46403830464 is a wasteful number, since it uses less digits than its factorization.

46403830464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19534 (or 19524 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 46403830464 in words is "forty-six billion, four hundred three million, eight hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 293 344 516 586 688 879 1032 1172 1376 1758 2064 2344 2752 3516 4128 4688 7032 8256 9376 12599 14064 18752 19183 25198 28128 37797 38366 50396 56256 57549 75594 76732 100792 115098 151188 153464 201584 230196 302376 306928 403168 460392 604752 613856 806336 824869 920784 1209504 1227712 1649738 1841568 2419008 2474607 3299476 3683136 4949214 5620619 6598952 9898428 11241238 13197904 16861857 19796856 22482476 26395808 33723714 39593712 44964952 52791616 67447428 79187424 89929904 134894856 158374848 179859808 241686617 269789712 359719616 483373234 539579424 725059851 966746468 1079158848 1450119702 1933492936 2900239404 3866985872 5800478808 7733971744 11600957616 15467943488 23201915232 46403830464