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677061125936 = 2413591271572767
BaseRepresentation
bin10011101101000111111…
…11001110011100110000
32101201121112221212011122
421312203333032130300
542043110122012221
61235012041401412
766626130420446
oct11664377163460
92351545855148
10677061125936
1124115a39a038
12ab276499268
134bb00c60390
1424aac9a8b96
151292a31deab
hex9da3fce730

677061125936 has 160 divisors (see below), whose sum is σ = 1457720033280. Its totient is φ = 302723785728.

The previous prime is 677061125899. The next prime is 677061125953. The reversal of 677061125936 is 639521160776.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244690025 + ... + 244692791.

It is an arithmetic number, because the mean of its divisors is an integer number (9110750208).

Almost surely, 2677061125936 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 677061125936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728860016640).

677061125936 is an abundant number, since it is smaller than the sum of its proper divisors (780658907344).

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

677061125936 is a wasteful number, since it uses less digits than its factorization.

677061125936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 53.

The spelling of 677061125936 in words is "six hundred seventy-seven billion, sixty-one million, one hundred twenty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 59 104 118 127 157 208 236 254 314 472 508 628 767 944 1016 1256 1534 1651 2032 2041 2512 2767 3068 3302 4082 5534 6136 6604 7493 8164 9263 11068 12272 13208 14986 16328 18526 19939 22136 26416 29972 32656 35971 37052 39878 44272 59944 71942 74104 79756 97409 119888 120419 143884 148208 159512 163253 194818 240838 259207 287768 319024 326506 351409 389636 434419 481676 518414 575536 653012 702818 779272 868838 963352 1036828 1176401 1306024 1405636 1558544 1737676 1926704 2073656 2122289 2352802 2612048 2811272 3475352 4147312 4244578 4568317 4705604 5622544 5647447 6950704 8489156 9136634 9411208 11294894 15293213 16978312 18273268 18822416 20733131 22589788 25630721 30586426 33956624 36546536 41466262 45179576 51261442 55171213 61172852 73093072 82932524 90359152 102522884 110342426 122345704 165865048 205045768 220684852 244691408 269530703 331730096 333199373 410091536 441369704 539061406 666398746 717225769 882739408 1078122812 1332797492 1434451538 2156245624 2665594984 2868903076 3255101567 4312491248 5331189968 5737806152 6510203134 11475612304 13020406268 26040812536 42316320371 52081625072 84632640742 169265281484 338530562968 677061125936