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46046858832 = 24331312016827
BaseRepresentation
bin101010111000100110…
…110100111001010000
311101212002021210102000
4222320212310321100
51223300443440312
633053103554000
73220040561562
oct527046647120
9141762253360
1046046858832
111858a284637
128b10bbb900
13445aa76a40
14232b6d7332
1512e77c8adc
hexab89b4e50

46046858832 has 160 divisors (see below), whose sum is σ = 142477964160. Its totient is φ = 14154393600.

The previous prime is 46046858827. The next prime is 46046858881. The reversal of 46046858832 is 23885864064.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6741403 + ... + 6748229.

It is an arithmetic number, because the mean of its divisors is an integer number (890487276).

Almost surely, 246046858832 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 46046858832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71238982080).

46046858832 is an abundant number, since it is smaller than the sum of its proper divisors (96431105328).

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

46046858832 is a wasteful number, since it uses less digits than its factorization.

46046858832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8058 (or 8046 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 46046858832 in words is "forty-six billion, forty-six million, eight hundred fifty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1201 1404 1872 2402 2808 3603 4804 5616 6827 7206 9608 10809 13654 14412 15613 19216 20481 21618 27308 28824 31226 32427 40962 43236 46839 54616 57648 61443 62452 64854 81924 86472 88751 93678 109232 122886 124904 129708 140517 163848 172944 177502 184329 187356 245772 249808 259416 266253 281034 327696 355004 368658 374712 421551 491544 518832 532506 562068 710008 737316 749424 798759 843102 983088 1065012 1124136 1420016 1474632 1597518 1686204 2130024 2248272 2396277 2949264 3195036 3372408 4260048 4792554 6390072 6744816 8199227 9585108 12780144 16398454 19170216 24597681 32796908 38340432 49195362 65593816 73793043 98390724 106589951 131187632 147586086 196781448 213179902 221379129 295172172 319769853 393562896 426359804 442758258 590344344 639539706 852719608 885516516 959309559 1180688688 1279079412 1705439216 1771033032 1918619118 2558158824 2877928677 3542066064 3837238236 5116317648 5755857354 7674476472 11511714708 15348952944 23023429416 46046858832