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645053564112 = 243616713724001
BaseRepresentation
bin10010110001100000011…
…00000100010011010000
32021122222220002020200220
421120300030010103100
541032032203022422
61212200012313040
764414012553616
oct11306014042320
92248886066626
10645053564112
11229624a14101
12a5023172780
1348a9c9a4099
1423313a976b6
1511ba533be5c
hex96303044d0

645053564112 has 160 divisors (see below), whose sum is σ = 1731604896384. Its totient is φ = 206807040000.

The previous prime is 645053564101. The next prime is 645053564143. The reversal of 645053564112 is 211465350546.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 26864112 + ... + 26888112.

Almost surely, 2645053564112 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 645053564112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865802448192).

645053564112 is an abundant number, since it is smaller than the sum of its proper divisors (1086551332272).

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

645053564112 is a wasteful number, since it uses less digits than its factorization.

645053564112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24277 (or 24271 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 645053564112 in words is "six hundred forty-five billion, fifty-three million, five hundred sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 67 122 134 137 183 201 244 268 274 366 402 411 488 536 548 732 804 822 976 1072 1096 1464 1608 1644 2192 2928 3216 3288 4087 6576 8174 8357 9179 12261 16348 16714 18358 24001 24522 25071 27537 32696 33428 36716 48002 49044 50142 55074 65392 66856 72003 73432 96004 98088 100284 110148 133712 144006 146864 192008 196176 200568 220296 288012 384016 401136 440592 559919 576024 1119838 1152048 1464061 1608067 1679757 2239676 2928122 3216134 3288137 3359514 4392183 4479352 4824201 5856244 6432268 6576274 6719028 8784366 8958704 9648402 9864411 11712488 12864536 13152548 13438056 17568732 19296804 19728822 23424976 25729072 26305096 26876112 35137464 38593608 39457644 52610192 70274928 77187216 78915288 98092087 157830576 196184174 200576357 220305179 294276261 392368348 401152714 440610358 588552522 601729071 660915537 784736696 802305428 881220716 1177105044 1203458142 1321831074 1569473392 1604610856 1762441432 2354210088 2406916284 2643662148 3209221712 3524882864 4708420176 4813832568 5287324296 9627665136 10574648592 13438615919 26877231838 40315847757 53754463676 80631695514 107508927352 161263391028 215017854704 322526782056 645053564112