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134786995830 = 232510320876967
BaseRepresentation
bin111110110000111101…
…1100101011001110110
3110212220112111211101200
41331201323211121312
54202020432331310
6141530441033330
712511101363264
oct1754173453166
9425815454350
10134786995830
1152187821a33
1222157a85846
13c930875046
146749161434
15378d2429c0
hex1f61ee5676

134786995830 has 96 divisors (see below), whose sum is σ = 354068941824. Its totient is φ = 35572074048.

The previous prime is 134786995807. The next prime is 134786995853. The reversal of 134786995830 is 38599687431.

134786995830 is a `hidden beast` number, since 1 + 3 + 47 + 8 + 6 + 9 + 9 + 583 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (134786995807) and next prime (134786995853).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 19343007 + ... + 19349973.

It is an arithmetic number, because the mean of its divisors is an integer number (3688218144).

Almost surely, 2134786995830 is an apocalyptic number.

134786995830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134786995830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177034470912).

134786995830 is an abundant number, since it is smaller than the sum of its proper divisors (219281945994).

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

134786995830 is a wasteful number, since it uses less digits than its factorization.

134786995830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9170 (or 9167 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 134786995830 in words is "one hundred thirty-four billion, seven hundred eighty-six million, nine hundred ninety-five thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 1030 1545 1854 2087 3090 4174 4635 6261 6967 9270 10435 12522 13934 18783 20870 20901 31305 34835 37566 41802 62610 62703 69670 93915 104505 125406 187830 209010 214961 313515 429922 627030 644883 717601 1074805 1289766 1435202 1934649 2149610 2152803 3224415 3588005 3869298 4305606 6448830 6458409 7176010 9673245 10764015 12916818 14540129 19346490 21528030 29080258 32292045 43620387 64584090 72700645 87240774 130861161 145401290 218101935 261722322 436203870 654305805 1308611610 1497633287 2995266574 4492899861 7488166435 8985799722 13478699583 14976332870 22464499305 26957399166 44928998610 67393497915 134786995830