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18302519712 = 253674875843
BaseRepresentation
bin10001000010111010…
…100100100110100000
31202020112102100001110
4101002322210212200
5244440421112322
612224050303320
71215360564531
oct210272444640
952215370043
1018302519712
117842327a54
123669587b40
131958b01229
14c58a98688
15721c13c0c
hex442ea49a0

18302519712 has 96 divisors (see below), whose sum is σ = 48869678592. Its totient is φ = 5996415744.

The previous prime is 18302519693. The next prime is 18302519731. The reversal of 18302519712 is 21791520381.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18302519693) and next prime (18302519731).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3129463 + ... + 3135305.

It is an arithmetic number, because the mean of its divisors is an integer number (509059152).

Almost surely, 218302519712 is an apocalyptic number.

18302519712 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 18302519712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24434839296).

18302519712 is an abundant number, since it is smaller than the sum of its proper divisors (30567158880).

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

18302519712 is a wasteful number, since it uses less digits than its factorization.

18302519712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6410 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 18302519712 in words is "eighteen billion, three hundred two million, five hundred nineteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 487 536 804 974 1072 1461 1608 1948 2144 2922 3216 3896 5843 5844 6432 7792 11686 11688 15584 17529 23372 23376 32629 35058 46744 46752 65258 70116 93488 97887 130516 140232 186976 195774 261032 280464 391481 391548 522064 560928 782962 783096 1044128 1174443 1565924 1566192 2348886 2845541 3131848 3132384 4697772 5691082 6263696 8536623 9395544 11382164 12527392 17073246 18791088 22764328 34146492 37582176 45528656 68292984 91057312 136585968 190651247 273171936 381302494 571953741 762604988 1143907482 1525209976 2287814964 3050419952 4575629928 6100839904 9151259856 18302519712