Search a number
-
+
77977053320106 = 231767113100974893
BaseRepresentation
bin10001101110101101110010…
…100100000101001110101010
3101020002112101220210001111210
4101232231302210011032222
540210034001122220411
6433502055212333550
722265441034056013
oct2156556244051652
9336075356701453
1077977053320106
11229339788180a6
1288b45854742b6
1334682875ba365
14153817673600a
1590356717eca6
hex46eb729053aa

77977053320106 has 64 divisors (see below), whose sum is σ = 169075593710208. Its totient is φ = 23885004853248.

The previous prime is 77977053320083. The next prime is 77977053320129. The reversal of 77977053320106 is 60102335077977.

It is an interprime number because it is at equal distance from previous prime (77977053320083) and next prime (77977053320129).

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, 49715205 + ... + 51259688.

It is an arithmetic number, because the mean of its divisors is an integer number (2641806151722).

Almost surely, 277977053320106 is an apocalyptic number.

77977053320106 is an abundant number, since it is smaller than the sum of its proper divisors (91098540390102).

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

77977053320106 is a wasteful number, since it uses less digits than its factorization.

77977053320106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100975095.

The product of its (nonzero) digits is 11668860, while the sum is 57.

The spelling of 77977053320106 in words is "seventy-seven trillion, nine hundred seventy-seven billion, fifty-three million, three hundred twenty thousand, one hundred six".

Divisors: 1 2 3 6 17 34 51 67 102 113 134 201 226 339 402 678 1139 1921 2278 3417 3842 5763 6834 7571 11526 15142 22713 45426 128707 257414 386121 772242 100974893 201949786 302924679 605849358 1716573181 3433146362 5149719543 6765317831 10299439086 11410162909 13530635662 20295953493 22820325818 34230488727 40591906986 68460977454 115010403127 193972769453 230020806254 345031209381 387945538906 581918308359 690062418762 764480914903 1163836616718 1528961829806 2293442744709 4586885489418 12996175553351 25992351106702 38988526660053 77977053320106