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76252351062140 = 225111741497276321
BaseRepresentation
bin10001010101100111100010…
…010011000110000001111100
3100222222122122110012111202122
4101111213202103012001330
534443304303332442030
6430101502501342112
722030023225545441
oct2125474223060174
9328878573174678
1076252351062140
1122329493309590
128676272107938
1333717482384c6
1414b88c23c79c8
158c3772da38e5
hex4559e24c607c

76252351062140 has 96 divisors (see below), whose sum is σ = 189474213313728. Its totient is φ = 25460547584000.

The previous prime is 76252351062113. The next prime is 76252351062143. The reversal of 76252351062140 is 4126015325267.

It is a super-2 number, since 2×762523510621402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 76252351062091 and 76252351062100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76252351062143) 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, 248484821 + ... + 248791500.

It is an arithmetic number, because the mean of its divisors is an integer number (1973689722018).

Almost surely, 276252351062140 is an apocalyptic number.

It is an amenable number.

76252351062140 is an abundant number, since it is smaller than the sum of its proper divisors (113221862251588).

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

76252351062140 is a wasteful number, since it uses less digits than its factorization.

76252351062140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497276399 (or 497276397 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 76252351062140 in words is "seventy-six trillion, two hundred fifty-two billion, three hundred fifty-one million, sixty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 41 44 55 68 82 85 110 164 170 187 205 220 340 374 410 451 697 748 820 902 935 1394 1804 1870 2255 2788 3485 3740 4510 6970 7667 9020 13940 15334 30668 38335 76670 153340 497276321 994552642 1989105284 2486381605 4972763210 5470039531 8453697457 9945526420 10940079062 16907394914 20388329161 21880158124 27350197655 33814789828 40776658322 42268487285 54700395310 81553316644 84536974570 92990672027 101941645805 109400790620 169073949140 185981344054 203883291610 224271620771 346601595737 371962688108 407766583220 448543241542 464953360135 693203191474 897086483084 929906720270 1121358103855 1386406382948 1733007978685 1859813440540 2242716207710 3466015957370 3812617553107 4485432415420 6932031914740 7625235106214 15250470212428 19063087765535 38126175531070 76252351062140