Search a number
-
+
61053386976 = 2532316838417
BaseRepresentation
bin111000110111000100…
…001100000011100000
312211120220201102000200
4320313010030003200
52000014131340401
644014133545200
74260650140521
oct706704140340
9184526642020
1061053386976
112399005530a
12b9ba7a5200
1359aca6a2aa
142d5273a848
1518c4e7c686
hexe3710c0e0

61053386976 has 72 divisors (see below), whose sum is σ = 179221258944. Its totient is φ = 19694638080.

The previous prime is 61053386963. The next prime is 61053387013. The reversal of 61053386976 is 67968335016.

61053386976 is a `hidden beast` number, since 6 + 10 + 533 + 8 + 6 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×610533869762 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3410281 + ... + 3428136.

It is an arithmetic number, because the mean of its divisors is an integer number (2489184152).

Almost surely, 261053386976 is an apocalyptic number.

It is an amenable number.

61053386976 is an abundant number, since it is smaller than the sum of its proper divisors (118167871968).

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

61053386976 is a wasteful number, since it uses less digits than its factorization.

61053386976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6838464 (or 6838453 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 61053386976 in words is "sixty-one billion, fifty-three million, three hundred eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 6838417 13676834 20515251 27353668 41030502 54707336 61545753 82061004 109414672 123091506 164122008 211990927 218829344 246183012 328244016 423981854 492366024 635972781 656488032 847963708 984732048 1271945562 1695927416 1907918343 1969464096 2543891124 3391854832 3815836686 5087782248 6783709664 7631673372 10175564496 15263346744 20351128992 30526693488 61053386976