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12357204070640 = 24511131080175181
BaseRepresentation
bin1011001111010010001011…
…0000100101000011110000
31121202100002210120000020112
42303310202300211003300
53104430023220230030
642140453213000452
72413531015350122
oct263644260450360
947670083500215
1012357204070640
113a3472a601040
121476aaa783128
136b83829451b0
1430a14012d212
1516668c64da95
hexb3d22c250f0

12357204070640 has 80 divisors (see below), whose sum is σ = 33753314087136. Its totient is φ = 4147872691200.

The previous prime is 12357204070637. The next prime is 12357204070667. The reversal of 12357204070640 is 4607040275321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×123572040706402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540076151 + ... + 540099030.

Almost surely, 212357204070640 is an apocalyptic number.

12357204070640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12357204070640 is an abundant number, since it is smaller than the sum of its proper divisors (21396110016496).

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

12357204070640 is a wasteful number, since it uses less digits than its factorization.

12357204070640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080175218 (or 1080175212 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The spelling of 12357204070640 in words is "twelve trillion, three hundred fifty-seven billion, two hundred four million, seventy thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 1080175181 2160350362 4320700724 5400875905 8641401448 10801751810 11881926991 14042277353 17282802896 21603503620 23763853982 28084554706 43207007240 47527707964 56169109412 59409634955 70211386765 86414014480 95055415928 112338218824 118819269910 140422773530 154465050883 190110831856 224676437648 237638539820 280845547060 308930101766 475277079640 561691094120 617860203532 772325254415 950554159280 1123382188240 1235720407064 1544650508830 2471440814128 3089301017660 6178602035320 12357204070640