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4655628992 = 267471271741
BaseRepresentation
bin1000101010111111…
…10100001011000000
3110000110101110100102
410111133310023000
534013320111432
62045550141532
7223241123240
oct42537641300
913013343312
104655628992
111a79a87a73
12a9b1b18a8
135926c6871
1432245bb20
151c3ad0962
hex1157f42c0

4655628992 has 112 divisors (see below), whose sum is σ = 10874093568. Its totient is φ = 1936327680.

The previous prime is 4655628953. The next prime is 4655628997. The reversal of 4655628992 is 2998265564.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×46556289922 = 43349762622301872128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (4655628997) 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, 2673242 + ... + 2674982.

Almost surely, 24655628992 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 4655628992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437046784).

4655628992 is an abundant number, since it is smaller than the sum of its proper divisors (6218464576).

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

4655628992 is a wasteful number, since it uses less digits than its factorization.

4655628992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1924 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 56.

The square root of 4655628992 is about 68232.1697735020. The cubic root of 4655628992 is about 1669.7807679511.

The spelling of 4655628992 in words is "four billion, six hundred fifty-five million, six hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 127 188 224 254 329 376 448 508 658 752 889 1016 1316 1504 1741 1778 2032 2632 3008 3482 3556 4064 5264 5969 6964 7112 8128 10528 11938 12187 13928 14224 21056 23876 24374 27856 28448 41783 47752 48748 55712 56896 81827 83566 95504 97496 111424 163654 167132 191008 194992 221107 327308 334264 382016 389984 442214 572789 654616 668528 779968 884428 1145578 1309232 1337056 1547749 1768856 2291156 2618464 2674112 3095498 3537712 4582312 5236928 6190996 7075424 9164624 10392029 12381992 14150848 18329248 20784058 24763984 36658496 41568116 49527968 72744203 83136232 99055936 145488406 166272464 290976812 332544928 581953624 665089856 1163907248 2327814496 4655628992