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107890371540 = 223257471821857
BaseRepresentation
bin110010001111011000…
…1000110101111010100
3101022111001202202011200
41210132301012233110
53231424413342130
6121321505032500
710536424012110
oct1443661065724
9338431682150
10107890371540
1141835336016
1218ab0325730
13a23541a643
145316d4c740
152c16ccc760
hex191ec46bd4

107890371540 has 144 divisors (see below), whose sum is σ = 381978035712. Its totient is φ = 24135948288.

The previous prime is 107890371539. The next prime is 107890371553. The reversal of 107890371540 is 45173098701.

107890371540 is a `hidden beast` number, since 1 + 0 + 78 + 9 + 0 + 37 + 1 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 851709 + ... + 970148.

It is an arithmetic number, because the mean of its divisors is an integer number (2652625248).

Almost surely, 2107890371540 is an apocalyptic number.

107890371540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107890371540 is an abundant number, since it is smaller than the sum of its proper divisors (274087664172).

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

107890371540 is a wasteful number, since it uses less digits than its factorization.

107890371540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821926 (or 1821921 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 107890371540 in words is "one hundred seven billion, eight hundred ninety million, three hundred seventy-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 47 60 63 70 84 90 94 105 126 140 141 180 188 210 235 252 282 315 329 420 423 470 564 630 658 705 846 940 987 1260 1316 1410 1645 1692 1974 2115 2820 2961 3290 3948 4230 4935 5922 6580 8460 9870 11844 14805 19740 29610 59220 1821857 3643714 5465571 7287428 9109285 10931142 12752999 16396713 18218570 21862284 25505998 27327855 32793426 36437140 38258997 51011996 54655710 63764995 65586852 76517994 81983565 85627279 109311420 114776991 127529990 153035988 163967130 171254558 191294985 229553982 255059980 256881837 327934260 342509116 382589970 428136395 459107964 513763674 573884955 599390953 765179940 770645511 856272790 1027527348 1147769910 1198781906 1284409185 1541291022 1712545580 1798172859 2295539820 2397563812 2568818370 2996954765 3082582044 3596345718 3853227555 5137636740 5394518577 5993909530 7192691436 7706455110 8990864295 10789037154 11987819060 15412910220 17981728590 21578074308 26972592885 35963457180 53945185770 107890371540