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45788128480920 = 23357103451526913
BaseRepresentation
bin10100110100100111000010…
…01000100000111010011000
320000010022011101211020001110
422122103201020200322120
522000143041342342140
6241214435325220320
712434040336260130
oct1232234110407230
9200108141736043
1045788128480920
11136536aa919331
1251760677016a0
131c71a56c79a97
14b4422b691ac0
155460c33dd380
hex29a4e1220e98

45788128480920 has 128 divisors (see below), whose sum is σ = 156989684528640. Its totient is φ = 10465736908800.

The previous prime is 45788128480909. The next prime is 45788128480931. The reversal of 45788128480920 is 2908482188754.

It is an interprime number because it is at equal distance from previous prime (45788128480909) and next prime (45788128480931).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86635384 + ... + 87162296.

It is an arithmetic number, because the mean of its divisors is an integer number (1226481910380).

Almost surely, 245788128480920 is an apocalyptic number.

45788128480920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45788128480920 is an abundant number, since it is smaller than the sum of its proper divisors (111201556047720).

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

45788128480920 is a wasteful number, since it uses less digits than its factorization.

45788128480920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630385 (or 630381 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 66.

The spelling of 45788128480920 in words is "forty-five trillion, seven hundred eighty-eight billion, one hundred twenty-eight million, four hundred eighty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 103451 206902 310353 413804 517255 526913 620706 724157 827608 1034510 1053826 1241412 1448314 1551765 1580739 2069020 2107652 2172471 2482824 2634565 2896628 3103530 3161478 3620785 3688391 4138040 4215304 4344942 5269130 5793256 6207060 6322956 7241570 7376782 7903695 8689884 10538260 10862355 11065173 12414120 12645912 14483140 14753564 15807390 17379768 18441955 21076520 21724710 22130346 28966280 29507128 31614780 36883910 43449420 44260692 55325865 63229560 73767820 86898840 88521384 110651730 147535640 221303460 442606920 54509676763 109019353526 163529030289 218038707052 272548383815 327058060578 381567737341 436077414104 545096767630 654116121156 763135474682 817645151445 1090193535260 1144703212023 1308232242312 1526270949364 1635290302890 1907838686705 2180387070520 2289406424046 3052541898728 3270580605780 3815677373410 4578812848092 5723516060115 6541161211560 7631354746820 9157625696184 11447032120230 15262709493640 22894064240460 45788128480920