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15164090448 = 2431331799923
BaseRepresentation
bin11100001111101100…
…11010100001010000
31110010210220121110120
432013312122201100
5222024001343243
610544415030240
71044531433143
oct160766324120
943123817416
1015164090448
116481808661
122b3250b380
13157883c5b0
14a3bd3a05a
155db428c83
hex387d9a850

15164090448 has 160 divisors (see below), whose sum is σ = 44103843840. Its totient is φ = 4457756160.

The previous prime is 15164090443. The next prime is 15164090477. The reversal of 15164090448 is 84409046151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15164090443) 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, 1523215 + ... + 1533137.

It is an arithmetic number, because the mean of its divisors is an integer number (275649024).

Almost surely, 215164090448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15164090448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22051921920).

15164090448 is an abundant number, since it is smaller than the sum of its proper divisors (28939753392).

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

15164090448 is a wasteful number, since it uses less digits than its factorization.

15164090448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10057 (or 10051 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 15164090448 in words is "fifteen billion, one hundred sixty-four million, ninety thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 79 93 104 124 156 158 186 208 237 248 312 316 372 403 474 496 624 632 744 806 948 1027 1209 1264 1488 1612 1896 2054 2418 2449 3081 3224 3792 4108 4836 4898 6162 6448 7347 8216 9672 9796 9923 12324 14694 16432 19344 19592 19846 24648 29388 29769 31837 39184 39692 49296 58776 59538 63674 79384 95511 117552 119076 127348 128999 158768 191022 238152 254696 257998 307613 382044 386997 476304 509392 515996 615226 764088 773994 783917 922839 1031992 1230452 1528176 1547988 1567834 1845678 2063984 2351751 2460904 3095976 3135668 3691356 3998969 4703502 4921808 6191952 6271336 7382712 7997938 9407004 10190921 11996907 12542672 14765424 15995876 18814008 20381842 23993814 24301427 30572763 31991752 37628016 40763684 47987628 48602854 61145526 63983504 72904281 81527368 95975256 97205708 122291052 145808562 163054736 191950512 194411416 244582104 291617124 315918551 388822832 489164208 583234248 631837102 947755653 1166468496 1263674204 1895511306 2527348408 3791022612 5054696816 7582045224 15164090448