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463139858940 = 223511279807511
BaseRepresentation
bin1101011110101010100…
…10010110100111111100
31122021110000100112110220
412233111102112213330
530042002300441230
6552432530301340
745314015563263
oct6572522264774
91567400315426
10463139858940
11169464415a00
1275914727850
133489b73ab15
14185b7a675da
15c0a9b19d10
hex6bd54969fc

463139858940 has 144 divisors (see below), whose sum is σ = 1443443850240. Its totient is φ = 110854972800.

The previous prime is 463139858939. The next prime is 463139858953. The reversal of 463139858940 is 49858931364.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169785 + ... + 977295.

Almost surely, 2463139858940 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 463139858940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721721925120).

463139858940 is an abundant number, since it is smaller than the sum of its proper divisors (980303991300).

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

463139858940 is a wasteful number, since it uses less digits than its factorization.

463139858940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807624 (or 807611 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 463139858940 in words is "four hundred sixty-three billion, one hundred thirty-nine million, eight hundred fifty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 79 110 121 132 158 165 220 237 242 316 330 363 395 474 484 605 660 726 790 869 948 1185 1210 1452 1580 1738 1815 2370 2420 2607 3476 3630 4345 4740 5214 7260 8690 9559 10428 13035 17380 19118 26070 28677 38236 47795 52140 57354 95590 114708 143385 191180 286770 573540 807511 1615022 2422533 3230044 4037555 4845066 8075110 8882621 9690132 12112665 16150220 17765242 24225330 26647863 35530484 44413105 48450660 53295726 63793369 88826210 97708831 106591452 127586738 133239315 177652420 191380107 195417662 255173476 266478630 293126493 318966845 382760214 390835324 488544155 532957260 586252986 637933690 701727059 765520428 956900535 977088310 1172505972 1275867380 1403454118 1465632465 1913801070 1954176620 2105181177 2806908236 2931264930 3508635295 3827602140 4210362354 5862529860 7017270590 7718997649 8420724708 10525905885 14034541180 15437995298 21051811770 23156992947 30875990596 38594988245 42103623540 46313985894 77189976490 92627971788 115784964735 154379952980 231569929470 463139858940