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412375065632 = 253110711334381
BaseRepresentation
bin1100000000000110111…
…10000010010000100000
31110102102010102211122222
412000003132002100200
523224021004100012
6513235324450212
741536016136365
oct6000336022040
91412363384588
10412375065632
11149983a79372
1267b076a9968
132cb6b3c409a
1415d5d93446c
15aad8054972
hex6003782420

412375065632 has 96 divisors (see below), whose sum is σ = 853395346944. Its totient is φ = 195916492800.

The previous prime is 412375065629. The next prime is 412375065667. The reversal of 412375065632 is 236560573214.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11977082 + ... + 12011462.

It is an arithmetic number, because the mean of its divisors is an integer number (8889534864).

Almost surely, 2412375065632 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 412375065632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426697673472).

412375065632 is an abundant number, since it is smaller than the sum of its proper divisors (441020281312).

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

412375065632 is a wasteful number, since it uses less digits than its factorization.

412375065632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34642 (or 34634 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 44.

The spelling of 412375065632 in words is "four hundred twelve billion, three hundred seventy-five million, sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 107 113 124 214 226 248 428 452 496 856 904 992 1712 1808 3317 3424 3503 3616 6634 7006 12091 13268 14012 24182 26536 28024 34381 48364 53072 56048 68762 96728 106144 112096 137524 193456 275048 374821 386912 550096 749642 1065811 1100192 1499284 2131622 2998568 3678767 3885053 4263244 5997136 7357534 7770106 8526488 11994272 14715068 15540212 17052976 29430136 31080424 34105952 58860272 62160848 114041777 117720544 120436643 124321696 228083554 240873286 415700671 456167108 481746572 831401342 912334216 963493144 1662802684 1824668432 1926986288 3325605368 3649336864 3853972576 6651210736 12886720801 13302421472 25773441602 51546883204 103093766408 206187532816 412375065632