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126677520912 = 24341535872069
BaseRepresentation
bin111010111111010010…
…0011001001000010000
3110002222101002211010210
41311332210121020100
54033413421132122
6134110030524120
712103121106255
oct1657644311020
9402871084123
10126677520912
11497a6181448
1220674066640
13bc3a751887
1461ba11b42c
15346632040c
hex1d7e919210

126677520912 has 160 divisors (see below), whose sum is σ = 342304341120. Its totient is φ = 40330301440.

The previous prime is 126677520901. The next prime is 126677520913. The reversal of 126677520912 is 219025776621.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (126677520913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61225414 + ... + 61227482.

It is an arithmetic number, because the mean of its divisors is an integer number (2139402132).

Almost surely, 2126677520912 is an apocalyptic number.

126677520912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126677520912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171152170560).

126677520912 is an abundant number, since it is smaller than the sum of its proper divisors (215626820208).

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

126677520912 is a wasteful number, since it uses less digits than its factorization.

126677520912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 126677520912 in words is "one hundred twenty-six billion, six hundred seventy-seven million, five hundred twenty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 53 82 106 123 159 164 212 246 318 328 424 492 587 636 656 848 984 1174 1272 1761 1968 2069 2173 2348 2544 3522 4138 4346 4696 6207 6519 7044 8276 8692 9392 12414 13038 14088 16552 17384 24067 24828 26076 28176 31111 33104 34768 48134 49656 52152 62222 72201 84829 93333 96268 99312 104304 109657 124444 144402 169658 186666 192536 219314 248888 254487 288804 328971 339316 373332 385072 438628 497776 508974 577608 657942 678632 746664 877256 1017948 1155216 1214503 1275551 1315884 1357264 1493328 1754512 2035896 2429006 2551102 2631768 3643509 3826653 4071792 4495937 4858012 5102204 5263536 7287018 7653306 8991874 9716024 10204408 13487811 14574036 15306612 17983748 19432048 20408816 26975622 29148072 30613224 35967496 49794623 53951244 58296144 61226448 64368659 71934992 99589246 107902488 128737318 149383869 193105977 199178492 215804976 257474636 298767738 386211954 398356984 514949272 597535476 772423908 796713968 1029898544 1195070952 1544847816 2390141904 2639115019 3089695632 5278230038 7917345057 10556460076 15834690114 21112920152 31669380228 42225840304 63338760456 126677520912