Search a number
-
+
70483907446560 = 25325317327179813
BaseRepresentation
bin10000000001101011010000…
…010001000000011100100000
3100020120012021200212001210100
4100001223100101000130200
533214302020301242220
6405523505435302400
720563202635043106
oct2001532021003440
9306505250761710
1070483907446560
112050506a272a83
127aa4305baaa00
1330437b0b642ba
141359621703c76
158236ac94ed90
hex401ad0440720

70483907446560 has 576 divisors, whose sum is σ = 252618313199616. Its totient is φ = 17873801625600.

The previous prime is 70483907446549. The next prime is 70483907446577. The reversal of 70483907446560 is 6564470938407.

It is a happy number.

70483907446560 is a `hidden beast` number, since 7 + 0 + 4 + 83 + 90 + 7 + 4 + 465 + 6 + 0 = 666.

It is a super-4 number, since 4×704839074465604 (a number of 56 digits) contains 4444 as substring.

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 95 ways as a sum of consecutive naturals, for example, 883073214 + ... + 883153026.

It is an arithmetic number, because the mean of its divisors is an integer number (438573460416).

Almost surely, 270483907446560 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 70483907446560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126309156599808).

70483907446560 is an abundant number, since it is smaller than the sum of its proper divisors (182134405753056).

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

70483907446560 is a wasteful number, since it uses less digits than its factorization.

70483907446560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80209 (or 80198 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 70483907446560 in words is "seventy trillion, four hundred eighty-three billion, nine hundred seven million, four hundred forty-six thousand, five hundred sixty".