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18975197952 = 283247175229
BaseRepresentation
bin10001101011000000…
…101000101100000000
31210222102011221010100
4101223000220230000
5302330122313302
612414520202400
71241136343554
oct215300505400
953872157110
1018975197952
118058006087
123816909400
131a352956a9
14cc015d864
15760cdad1c
hex46b028b00

18975197952 has 108 divisors (see below), whose sum is σ = 55874538720. Its totient is φ = 6190454784.

The previous prime is 18975197897. The next prime is 18975197957. The reversal of 18975197952 is 25979157981.

It is a self number, because there is not a number n which added to its sum of digits gives 18975197952.

It is not an unprimeable number, because it can be changed into a prime (18975197957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20674 + ... + 195902.

It is an arithmetic number, because the mean of its divisors is an integer number (517356840).

Almost surely, 218975197952 is an apocalyptic number.

18975197952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18975197952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27937269360).

18975197952 is an abundant number, since it is smaller than the sum of its proper divisors (36899340768).

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

18975197952 is a wasteful number, since it uses less digits than its factorization.

18975197952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175298 (or 175281 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 63.

The spelling of 18975197952 in words is "eighteen billion, nine hundred seventy-five million, one hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 564 576 752 768 846 1128 1152 1504 1692 2256 2304 3008 3384 4512 6016 6768 9024 12032 13536 18048 27072 36096 54144 108288 175229 350458 525687 700916 1051374 1401832 1577061 2102748 2803664 3154122 4205496 5607328 6308244 8235763 8410992 11214656 12616488 16471526 16821984 22429312 24707289 25232976 32943052 33643968 44858624 49414578 50465952 65886104 67287936 74121867 98829156 100931904 131772208 134575872 148243734 197658312 201863808 263544416 296487468 395316624 403727616 527088832 592974936 790633248 1054177664 1185949872 1581266496 2108355328 2371899744 3162532992 4743799488 6325065984 9487598976 18975197952