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669573632 = 2972132053
BaseRepresentation
bin100111111010001…
…110001000000000
31201122220212100102
4213322032020000
52332402324012
6150235141532
722410165500
oct4772161000
91648825312
10669573632
11313a58642
121682a48a8
13a8948320
1464cd7a00
153dbb22c2
hex27e8e200

669573632 has 120 divisors (see below), whose sum is σ = 1676791116. Its totient is φ = 264757248.

The previous prime is 669573617. The next prime is 669573649. The reversal of 669573632 is 236375966.

It can be written as a sum of positive squares in 2 ways, for example, as 646379776 + 23193856 = 25424^2 + 4816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325118 + ... + 327170.

Almost surely, 2669573632 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 669573632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838395558).

669573632 is an abundant number, since it is smaller than the sum of its proper divisors (1007217484).

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

669573632 is a wasteful number, since it uses less digits than its factorization.

669573632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2075 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 47.

The square root of 669573632 is about 25876.1208839347. The cubic root of 669573632 is about 874.8483577211.

The spelling of 669573632 in words is "six hundred sixty-nine million, five hundred seventy-three thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 364 392 416 448 512 637 728 784 832 896 1274 1456 1568 1664 1792 2053 2548 2912 3136 3328 3584 4106 5096 5824 6272 6656 8212 10192 11648 12544 14371 16424 20384 23296 25088 26689 28742 32848 40768 46592 53378 57484 65696 81536 100597 106756 114968 131392 163072 186823 201194 213512 229936 262784 326144 373646 402388 427024 459872 525568 747292 804776 854048 919744 1051136 1307761 1494584 1609552 1708096 1839488 2615522 2989168 3219104 3416192 3678976 5231044 5978336 6438208 6832384 7357952 10462088 11956672 12876416 13664768 20924176 23913344 25752832 41848352 47826688 51505664 83696704 95653376 167393408 334786816 669573632