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677066688 = 2634131997
BaseRepresentation
bin101000010110110…
…011011111000000
31202012000112220000
4220112303133000
52341312113223
6151103520000
722530654234
oct5026633700
91665015800
10677066688
11318206251
1216a8b9000
13aa36ca9c
1465cc85c4
153e692543
hex285b37c0

677066688 has 140 divisors (see below), whose sum is σ = 2024387112. Its totient is φ = 223741440.

The previous prime is 677066657. The next prime is 677066707. The reversal of 677066688 is 886660776.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 678606 + ... + 679602.

Almost surely, 2677066688 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 677066688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012193556).

677066688 is an abundant number, since it is smaller than the sum of its proper divisors (1347320424).

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

677066688 is a wasteful number, since it uses less digits than its factorization.

677066688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 677066688 is about 26020.5051449813. The cubic root of 677066688 is about 878.0996733753.

The spelling of 677066688 in words is "six hundred seventy-seven million, sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 131 144 162 192 216 262 288 324 393 432 524 576 648 786 864 997 1048 1179 1296 1572 1728 1994 2096 2358 2592 2991 3144 3537 3988 4192 4716 5184 5982 6288 7074 7976 8384 8973 9432 10611 11964 12576 14148 15952 17946 18864 21222 23928 25152 26919 28296 31904 35892 37728 42444 47856 53838 56592 63808 71784 75456 80757 84888 95712 107676 113184 130607 143568 161514 169776 191424 215352 226368 261214 287136 323028 339552 391821 430704 522428 574272 646056 679104 783642 861408 1044856 1175463 1292112 1567284 1722816 2089712 2350926 2584224 3134568 3526389 4179424 4701852 5168448 6269136 7052778 8358848 9403704 10579167 12538272 14105556 18807408 21158334 25076544 28211112 37614816 42316668 56422224 75229632 84633336 112844448 169266672 225688896 338533344 677066688