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117611128536 = 233112337972399
BaseRepresentation
bin110110110001000101…
…0110110011011011000
3102020120112002100220120
41231202022312123120
53411331422103121
6130010234353240
711332341045366
oct1554212663330
9366515070816
10117611128536
1145973463690
121a96388b820
13b1242c6b65
145999d82636
1530d53cbbc6
hex1b622b66d8

117611128536 has 128 divisors (see below), whose sum is σ = 322672896000. Its totient is φ = 35427476480.

The previous prime is 117611128487. The next prime is 117611128559. The reversal of 117611128536 is 635821116711.

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 31 ways as a sum of consecutive naturals, for example, 49023865 + ... + 49026263.

It is an arithmetic number, because the mean of its divisors is an integer number (2520882000).

Almost surely, 2117611128536 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 117611128536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161336448000).

117611128536 is an abundant number, since it is smaller than the sum of its proper divisors (205061767464).

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

117611128536 is a wasteful number, since it uses less digits than its factorization.

117611128536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3445 counting only the distinct ones).

The product of its digits is 60480, while the sum is 42.

The spelling of 117611128536 in words is "one hundred seventeen billion, six hundred eleven million, one hundred twenty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 233 264 466 699 797 932 1398 1594 1864 2391 2399 2563 2796 3188 4782 4798 5126 5592 6376 7197 7689 8767 9564 9596 10252 14394 15378 17534 19128 19192 20504 26301 26389 28788 30756 35068 52602 52778 57576 61512 70136 79167 105204 105556 158334 185701 210408 211112 316668 371402 557103 558967 633336 742804 1114206 1117934 1485608 1676901 1912003 2042711 2228412 2235868 3353802 3824006 4085422 4456824 4471736 5736009 6128133 6148637 6707604 7648012 8170844 11472018 12256266 12297274 13415208 15296024 16341688 18445911 21032033 22944036 24512532 24594548 36891822 42064066 45888072 49025064 49189096 63096099 73783644 84128132 126192198 147567288 168256264 252384396 445496699 504768792 890993398 1336490097 1781986796 2672980194 3563973592 4900463689 5345960388 9800927378 10691920776 14701391067 19601854756 29402782134 39203709512 58805564268 117611128536