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645612129240 = 2335133709111581
BaseRepresentation
bin10010110010100010111…
…10110100101111011000
32021201102211010022000020
421121101132310233120
541034203201113430
61212331244310440
764433604360441
oct11312136645730
92251384108006
10645612129240
11229891241381
12a515a242420
1348b5b622cb0
1423367d362c8
1511bd93c2b10
hex96517b4bd8

645612129240 has 128 divisors (see below), whose sum is σ = 2086404868800. Its totient is φ = 158875637760.

The previous prime is 645612129229. The next prime is 645612129247. The reversal of 645612129240 is 42921216546.

It is a junction number, because it is equal to n+sod(n) for n = 645612129192 and 645612129201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645612129247) 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, 5730250 + ... + 5841830.

Almost surely, 2645612129240 is an apocalyptic number.

645612129240 is a gapful number since it is divisible by the number (60) 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 645612129240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043202434400).

645612129240 is an abundant number, since it is smaller than the sum of its proper divisors (1440792739560).

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

645612129240 is a wasteful number, since it uses less digits than its factorization.

645612129240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115317 (or 115313 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 645612129240 in words is "six hundred forty-five billion, six hundred twelve million, one hundred twenty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 3709 7418 11127 14836 18545 22254 29672 37090 44508 48217 55635 74180 89016 96434 111270 111581 144651 148360 192868 222540 223162 241085 289302 334743 385736 445080 446324 482170 557905 578604 669486 723255 892648 964340 1115810 1157208 1338972 1446510 1450553 1673715 1928680 2231620 2677944 2893020 2901106 3347430 4351659 4463240 5786040 5802212 6694860 7252765 8703318 11604424 13389720 14505530 17406636 21758295 29011060 34813272 43516590 58022120 87033180 174066360 413853929 827707858 1241561787 1655415716 2069269645 2483123574 3310831432 4138539290 4966247148 5380101077 6207808935 8277078580 9932494296 10760202154 12415617870 16140303231 16554157160 21520404308 24831235740 26900505385 32280606462 43040808616 49662471480 53801010770 64561212924 80701516155 107602021540 129122425848 161403032310 215204043080 322806064620 645612129240