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12578006480 = 2451367180511
BaseRepresentation
bin10111011011011010…
…10010010111010000
31012110120201221011212
423231231102113100
5201224432201410
65440034155252
7623460201554
oct135555222720
935416657155
1012578006480
115374a58486
122530422b28
131255b2c7b0
148746bb864
154d9396b05
hex2edb525d0

12578006480 has 80 divisors (see below), whose sum is σ = 31963620864. Its totient is φ = 4574845440.

The previous prime is 12578006449. The next prime is 12578006489. The reversal of 12578006480 is 8460087521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12578006489) 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, 20576 + ... + 159935.

Almost surely, 212578006480 is an apocalyptic number.

12578006480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12578006480 is an abundant number, since it is smaller than the sum of its proper divisors (19385614384).

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

12578006480 is a wasteful number, since it uses less digits than its factorization.

12578006480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180604 (or 180598 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The spelling of 12578006480 in words is "twelve billion, five hundred seventy-eight million, six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 67 80 104 130 134 208 260 268 335 520 536 670 871 1040 1072 1340 1742 2680 3484 4355 5360 6968 8710 13936 17420 34840 69680 180511 361022 722044 902555 1444088 1805110 2346643 2888176 3610220 4693286 7220440 9386572 11733215 12094237 14440880 18773144 23466430 24188474 37546288 46932860 48376948 60471185 93865720 96753896 120942370 157225081 187731440 193507792 241884740 314450162 483769480 628900324 786125405 967538960 1257800648 1572250810 2515601296 3144501620 6289003240 12578006480