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135688754573070 = 23537122242121237
BaseRepresentation
bin11110110110100010000000…
…000001000010111100001110
3122210102201101121100221020020
4132312202000001002330032
5120241111032132314240
61200330315303203010
740403121554560116
oct3666420001027416
9583381347327206
10135688754573070
113a264306615716
1213275481446466
135a9351908a9ba
142571529530046
1510a48989a40d0
hex7b6880042f0e

135688754573070 has 32 divisors (see below), whose sum is σ = 334454443707168. Its totient is φ = 35205730915968.

The previous prime is 135688754573017. The next prime is 135688754573093. The reversal of 135688754573070 is 70375457886531.

135688754573070 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1356887545730702 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 135688754572986 and 135688754573004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61121059509 + ... + 61121061728.

It is an arithmetic number, because the mean of its divisors is an integer number (10451701365849).

Almost surely, 2135688754573070 is an apocalyptic number.

135688754573070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135688754573070 is an abundant number, since it is smaller than the sum of its proper divisors (198765689134098).

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

135688754573070 is a wasteful number, since it uses less digits than its factorization.

135688754573070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122242121284.

The product of its (nonzero) digits is 592704000, while the sum is 69.

The spelling of 135688754573070 in words is "one hundred thirty-five trillion, six hundred eighty-eight billion, seven hundred fifty-four million, five hundred seventy-three thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 122242121237 244484242474 366726363711 611210606185 733452727422 1222421212370 1833631818555 3667263637110 4522958485769 9045916971538 13568875457307 22614792428845 27137750914614 45229584857690 67844377286535 135688754573070