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145858963776 = 2634716163449
BaseRepresentation
bin1000011111010111011…
…1110010100101000000
3111221111011101002002120
42013311313302211000
54342204343320101
6151001235444240
713352343510231
oct2076567624500
9457434332076
10145858963776
1156949645369
1224327a56680
13109a6679b76
1470b9807088
153bda29ab36
hex21f5df2940

145858963776 has 56 divisors (see below), whose sum is σ = 394129564800. Its totient is φ = 47585190912.

The previous prime is 145858963711. The next prime is 145858963777. The reversal of 145858963776 is 677369858541.

145858963776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 145858963776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145858963777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8072701 + ... + 8090748.

Almost surely, 2145858963776 is an apocalyptic number.

145858963776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145858963776 is an abundant number, since it is smaller than the sum of its proper divisors (248270601024).

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

145858963776 is a wasteful number, since it uses less digits than its factorization.

145858963776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16163511 (or 16163501 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 69.

The spelling of 145858963776 in words is "one hundred forty-five billion, eight hundred fifty-eight million, nine hundred sixty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 9024 16163449 32326898 48490347 64653796 96980694 129307592 193961388 258615184 387922776 517230368 759682103 775845552 1034460736 1519364206 1551691104 2279046309 3038728412 3103382208 4558092618 6077456824 9116185236 12154913648 18232370472 24309827296 36464740944 48619654592 72929481888 145858963776