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412214785248 = 25371736083227
BaseRepresentation
bin1011111111110011110…
…10100111010011100000
31110101222221211202022110
411333321322213103200
523223203441111443
6513211401235320
741532031601550
oct5777172472340
91411887752273
10412214785248
11149901555342
1267a81a92b40
132cb44135b16
1415d46531160
15aac8e44233
hex5ff9ea74e0

412214785248 has 96 divisors (see below), whose sum is σ = 1309388177664. Its totient is φ = 110847670272.

The previous prime is 412214785243. The next prime is 412214785249. The reversal of 412214785248 is 842587412214.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 412214785197 and 412214785206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412214785243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18030190 + ... + 18053037.

It is an arithmetic number, because the mean of its divisors is an integer number (13639460184).

Almost surely, 2412214785248 is an apocalyptic number.

412214785248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

412214785248 is an abundant number, since it is smaller than the sum of its proper divisors (897173392416).

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

412214785248 is a wasteful number, since it uses less digits than its factorization.

412214785248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36083264 (or 36083256 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 48.

The spelling of 412214785248 in words is "four hundred twelve billion, two hundred fourteen million, seven hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 36083227 72166454 108249681 144332908 216499362 252582589 288665816 432998724 505165178 577331632 613414859 757747767 865997448 1010330356 1154663264 1226829718 1515495534 1731994896 1840244577 2020660712 2453659436 3030991068 3463989792 3680489154 4041321424 4293904013 4907318872 6061982136 7360978308 8082642848 8587808026 9814637744 12123964272 12881712039 14721956616 17175616052 19629275488 24247928544 25763424078 29443913232 34351232104 51526848156 58887826464 68702464208 103053696312 137404928416 206107392624 412214785248