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6002394144 = 253619710567
BaseRepresentation
bin1011001011100010…
…10100010000100000
3120111022120012211020
411211301110100200
544243103103034
62431340045440
7301513336245
oct54561242040
916438505736
106002394144
11260021661a
1211b6233880
13748726716
1440d2735cc
15251e5c249
hex165c54420

6002394144 has 96 divisors (see below), whose sum is σ = 16181214336. Its totient is φ = 1947525120.

The previous prime is 6002394143. The next prime is 6002394149. The reversal of 6002394144 is 4414932006.

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

It is not an unprimeable number, because it can be changed into a prime (6002394143) 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, 562749 + ... + 573315.

It is an arithmetic number, because the mean of its divisors is an integer number (168554316).

Almost surely, 26002394144 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 6002394144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090607168).

6002394144 is an abundant number, since it is smaller than the sum of its proper divisors (10178820192).

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

6002394144 is a wasteful number, since it uses less digits than its factorization.

6002394144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10738 (or 10730 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 6002394144 is about 77475.1195158807. The cubic root of 6002394144 is about 1817.3622522682.

The spelling of 6002394144 in words is "six billion, two million, three hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 97 122 183 194 244 291 366 388 488 582 732 776 976 1164 1464 1552 1952 2328 2928 3104 4656 5856 5917 9312 10567 11834 17751 21134 23668 31701 35502 42268 47336 63402 71004 84536 94672 126804 142008 169072 189344 253608 284016 338144 507216 568032 644587 1014432 1024999 1289174 1933761 2049998 2578348 3074997 3867522 4099996 5156696 6149994 7735044 8199992 10313392 12299988 15470088 16399984 20626784 24599976 30940176 32799968 49199952 61880352 62524939 98399904 125049878 187574817 250099756 375149634 500199512 750299268 1000399024 1500598536 2000798048 3001197072 6002394144