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661026816 = 2113235863
BaseRepresentation
bin100111011001100…
…111100000000000
31201001211122022200
4213121213200000
52323210324231
6145332033200
722244430612
oct4731474000
91631748280
10661026816
1130a15025a
12165462800
13a6c45038
1463b10db2
153d074be6
hex27667800

661026816 has 72 divisors (see below), whose sum is σ = 1909220040. Its totient is φ = 220336128.

The previous prime is 661026799. The next prime is 661026829. The reversal of 661026816 is 618620166.

661026816 is a `hidden beast` number, since 6 + 610 + 26 + 8 + 16 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501 + ... + 36363.

It is an arithmetic number, because the mean of its divisors is an integer number (26516945).

Almost surely, 2661026816 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 661026816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954610020).

661026816 is an abundant number, since it is smaller than the sum of its proper divisors (1248193224).

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

661026816 is a wasteful number, since it uses less digits than its factorization.

661026816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35891 (or 35868 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 661026816 is about 25710.4417698335. The cubic root of 661026816 is about 871.1100535258.

The spelling of 661026816 in words is "six hundred sixty-one million, twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 35863 71726 107589 143452 215178 286904 322767 430356 573808 645534 860712 1147616 1291068 1721424 2295232 2582136 3442848 4590464 5164272 6885696 9180928 10328544 13771392 18361856 20657088 27542784 36723712 41314176 55085568 73447424 82628352 110171136 165256704 220342272 330513408 661026816