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3645906912 = 253229436531
BaseRepresentation
bin1101100101010000…
…0001111111100000
3100102002102021001100
43121110001333200
524431323010122
61401440234400
7156230461134
oct33124017740
910362367040
103645906912
11160102390a
1285900ba00
1346146448b
142682dd3c4
1516512daac
hexd9501fe0

3645906912 has 72 divisors (see below), whose sum is σ = 10725591240. Its totient is φ = 1173392640.

The previous prime is 3645906899. The next prime is 3645906917. The reversal of 3645906912 is 2196095463.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3645906917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209914 + ... + 226617.

It is an arithmetic number, because the mean of its divisors is an integer number (148966545).

Almost surely, 23645906912 is an apocalyptic number.

3645906912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3645906912 is an abundant number, since it is smaller than the sum of its proper divisors (7079684328).

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

3645906912 is a wasteful number, since it uses less digits than its factorization.

3645906912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436576 (or 436565 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3645906912 is about 60381.3457286271. The cubic root of 3645906912 is about 1539.1059790959.

The spelling of 3645906912 in words is "three billion, six hundred forty-five million, nine hundred six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 436531 873062 1309593 1746124 2619186 3492248 3928779 5238372 6984496 7857558 10476744 12659399 13968992 15715116 20953488 25318798 31430232 37978197 41906976 50637596 62860464 75956394 101275192 113934591 125720928 151912788 202550384 227869182 303825576 405100768 455738364 607651152 911476728 1215302304 1822953456 3645906912