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19372488930 = 234541599887
BaseRepresentation
bin10010000010101100…
…001011100011100010
31212000002202101220000
4102002230023203202
5304133324121210
612522151400430
71254032303364
oct220254134342
955002671800
1019372488930
1182412a0733
123907983116
131a99698c02
14d1ac1ad34
15785b16ac0
hex482b0b8e2

19372488930 has 160 divisors (see below), whose sum is σ = 54270881280. Its totient is φ = 4954072320.

The previous prime is 19372488917. The next prime is 19372488931. The reversal of 19372488930 is 3988427391.

19372488930 is a `hidden beast` number, since 1 + 9 + 3 + 72 + 488 + 93 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (19372488931) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1954447 + ... + 1964333.

It is an arithmetic number, because the mean of its divisors is an integer number (339193008).

Almost surely, 219372488930 is an apocalyptic number.

19372488930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19372488930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27135440640).

19372488930 is an abundant number, since it is smaller than the sum of its proper divisors (34898392350).

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

19372488930 is a wasteful number, since it uses less digits than its factorization.

19372488930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10006 (or 9997 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 19372488930 in words is "nineteen billion, three hundred seventy-two million, four hundred eighty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 59 81 82 90 118 123 135 162 177 205 246 270 295 354 369 405 410 531 590 615 738 810 885 1062 1107 1230 1593 1770 1845 2214 2419 2655 3186 3321 3690 4779 4838 5310 5535 6642 7257 7965 9558 9887 11070 12095 14514 15930 16605 19774 21771 23895 24190 29661 33210 36285 43542 47790 49435 59322 65313 72570 88983 98870 108855 130626 148305 177966 195939 217710 266949 296610 326565 391878 405367 444915 533898 583333 653130 800847 810734 889830 979695 1166666 1216101 1334745 1601694 1749999 1959390 2026835 2432202 2669490 2916665 3499998 3648303 4004235 4053670 5249997 5833330 6080505 7296606 8008470 8749995 10499994 10944909 12161010 15749991 17499990 18241515 21889818 23916653 26249985 31499982 32834727 36483030 47249973 47833306 52499970 54724545 65669454 71749959 78749955 94499946 109449090 119583265 143499918 157499910 164173635 215249877 236249865 239166530 328347270 358749795 430499754 472499730 645749631 717499590 1076249385 1291499262 1937248893 2152498770 3228748155 3874497786 6457496310 9686244465 19372488930