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677061632 = 21013181281
BaseRepresentation
bin101000010110110…
…010010000000000
31202012000021221202
4220112302100000
52341311433012
6151103440332
722530633422
oct5026622000
91665007852
10677061632
11318202475
1216a8b60a8
13aa36a6b0
1465cc6812
153e690cc2
hex285b2400

677061632 has 88 divisors (see below), whose sum is σ = 1470843192. Its totient is φ = 309657600.

The previous prime is 677061611. The next prime is 677061683. The reversal of 677061632 is 236160776.

It can be written as a sum of positive squares in 4 ways, for example, as 1893376 + 675168256 = 1376^2 + 25984^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2409332 + ... + 2409612.

Almost surely, 2677061632 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 677061632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735421596).

677061632 is an abundant number, since it is smaller than the sum of its proper divisors (793781560).

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

677061632 is a wasteful number, since it uses less digits than its factorization.

677061632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 677061632 is about 26020.4079906523. The cubic root of 677061632 is about 878.0974876315.

The spelling of 677061632 in words is "six hundred seventy-seven million, sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 181 208 256 281 362 416 512 562 724 832 1024 1124 1448 1664 2248 2353 2896 3328 3653 4496 4706 5792 6656 7306 8992 9412 11584 13312 14612 17984 18824 23168 29224 35968 37648 46336 50861 58448 71936 75296 92672 101722 116896 143872 150592 185344 203444 233792 287744 301184 406888 467584 602368 661193 813776 935168 1204736 1322386 1627552 1870336 2409472 2644772 3255104 3740672 5289544 6510208 10579088 13020416 21158176 26040832 42316352 52081664 84632704 169265408 338530816 677061632