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136136417373684 = 2232721394723332687
BaseRepresentation
bin11110111101000010111010…
…110011000110110111110100
3122212000111212222220110000200
4132331002322303012313310
5120320424340321424214
61201312112354440500
740450350221600400
oct3675027263066764
9585014788813020
10136136417373684
113a4171485a1622
1213328196893130
135ac67bc19aa30
142589075870100
1510b1349973d09
hex7bd0bacc6df4

136136417373684 has 432 divisors, whose sum is σ = 431899535628288. Its totient is φ = 35837480802816.

The previous prime is 136136417373679. The next prime is 136136417373743. The reversal of 136136417373684 is 486373714631631.

136136417373684 is a `hidden beast` number, since 1 + 3 + 6 + 136 + 417 + 3 + 7 + 3 + 6 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50664835789 + ... + 50664838475.

It is an arithmetic number, because the mean of its divisors is an integer number (999767443584).

Almost surely, 2136136417373684 is an apocalyptic number.

136136417373684 is a gapful number since it is divisible by the number (14) 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 136136417373684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215949767814144).

136136417373684 is an abundant number, since it is smaller than the sum of its proper divisors (295763118254604).

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

136136417373684 is a wasteful number, since it uses less digits than its factorization.

136136417373684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6004 (or 5992 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 63.

The spelling of 136136417373684 in words is "one hundred thirty-six trillion, one hundred thirty-six billion, four hundred seventeen million, three hundred seventy-three thousand, six hundred eighty-four".