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153640840716 = 223311379341233
BaseRepresentation
bin1000111100010110110…
…1010010111000001100
3112200120111100101102000
42033011231102320030
510004124023400331
6154325344232300
714046235412136
oct2170555227014
9480514311360
10153640840716
115a182281720
122593a00b690
131164695b98c
147617132056
153ee355c0e6
hex23c5b52e0c

153640840716 has 96 divisors (see below), whose sum is σ = 435687571200. Its totient is φ = 46434850560.

The previous prime is 153640840699. The next prime is 153640840733. The reversal of 153640840716 is 617048046351.

153640840716 is a `hidden beast` number, since 1 + 536 + 4 + 0 + 8 + 40 + 71 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (153640840699) and next prime (153640840733).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279636 + ... + 620868.

It is an arithmetic number, because the mean of its divisors is an integer number (4538412200).

Almost surely, 2153640840716 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 153640840716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217843785600).

153640840716 is an abundant number, since it is smaller than the sum of its proper divisors (282046730484).

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

153640840716 is a wasteful number, since it uses less digits than its factorization.

153640840716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341636 (or 341628 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 153640840716 in words is "one hundred fifty-three billion, six hundred forty million, eight hundred forty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 379 396 594 758 1137 1188 1516 2274 3411 4169 4548 6822 8338 10233 12507 13644 16676 20466 25014 37521 40932 50028 75042 112563 150084 225126 341233 450252 682466 1023699 1364932 2047398 3071097 3753563 4094796 6142194 7507126 9213291 11260689 12284388 15014252 18426582 22521378 33782067 36853164 45042756 67564134 101346201 129327307 135128268 202692402 258654614 387981921 405384804 517309228 775963842 1163945763 1422600377 1551927684 2327891526 2845200754 3491837289 4267801131 4655783052 5690401508 6983674578 8535602262 12803403393 13967349156 17071204524 25606806786 38410210179 51213613572 76820420358 153640840716