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681702876408 = 2332331193206413
BaseRepresentation
bin10011110101110001010…
…10000110010011111000
32102011121001020012202210
421322320222012103320
542132111414021113
61241100414255120
7100152142561611
oct11727052062370
92364531205683
10681702876408
11243121557954
12b0150ab74a0
134c390807ba8
1424dcd252c08
1512aecaac6c3
hex9eb8a864f8

681702876408 has 128 divisors (see below), whose sum is σ = 1845242081280. Its totient is φ = 209252229120.

The previous prime is 681702876401. The next prime is 681702876433. The reversal of 681702876408 is 804678207186.

It is a happy number.

681702876408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 8256532-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681702876401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3199410 + ... + 3405822.

It is an arithmetic number, because the mean of its divisors is an integer number (14415953760).

Almost surely, 2681702876408 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 681702876408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922621040640).

681702876408 is an abundant number, since it is smaller than the sum of its proper divisors (1163539204872).

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

681702876408 is a wasteful number, since it uses less digits than its factorization.

681702876408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206669 (or 206665 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 681702876408 in words is "six hundred eighty-one billion, seven hundred two million, eight hundred seventy-six thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 193 248 276 372 386 552 579 713 744 772 1158 1426 1544 2139 2316 2852 4278 4439 4632 5704 5983 8556 8878 11966 13317 17112 17756 17949 23932 26634 35512 35898 47864 53268 71796 106536 137609 143592 206413 275218 412826 412827 550436 619239 825652 825654 1100872 1238478 1651304 1651308 2476956 3302616 4747499 4953912 6398803 9494998 12797606 14242497 18989996 19196409 25595212 28484994 37979992 38392818 39837709 51190424 56969988 76785636 79675418 113939976 119513127 147172469 153571272 159350836 239026254 294344938 318701672 441517407 478052508 588689876 883034814 916267307 956105016 1177379752 1234968979 1766069628 1832534614 2469937958 2748801921 3532139256 3665069228 3704906937 4939875916 5497603842 7330138456 7409813874 9879751832 10995207684 14819627748 21990415368 28404286517 29639255496 56808573034 85212859551 113617146068 170425719102 227234292136 340851438204 681702876408