Search a number
-
+
92132077632 = 2637132151893
BaseRepresentation
bin101010111001101111…
…1111111000001000000
322210210211202110210120
41111303133333001000
53002141302441012
6110154102100240
76441055511220
oct1256337770100
9283724673716
1092132077632
1136089179621
1215a32a1a680
1388c376198a
144660138080
1525e362d58c
hex15737ff040

92132077632 has 112 divisors (see below), whose sum is σ = 278806119552. Its totient is φ = 26303016960.

The previous prime is 92132077621. The next prime is 92132077633. The reversal of 92132077632 is 23677023129.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (92132077633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1749478 + ... + 1801370.

Almost surely, 292132077632 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 92132077632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139403059776).

92132077632 is an abundant number, since it is smaller than the sum of its proper divisors (186674041920).

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

92132077632 is a wasteful number, since it uses less digits than its factorization.

92132077632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53236 (or 53226 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 92132077632 in words is "ninety-two billion, one hundred thirty-two million, seventy-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1321 1344 2642 3963 5284 7926 9247 10568 15852 18494 21136 27741 31704 36988 42272 51893 55482 63408 73976 84544 103786 110964 126816 147952 155679 207572 221928 253632 295904 311358 363251 415144 443856 591808 622716 726502 830288 887712 1089753 1245432 1453004 1660576 1775424 2179506 2490864 2906008 3321152 4359012 4981728 5812016 8718024 9963456 11624032 17436048 23248064 34872096 68550653 69744192 137101306 205651959 274202612 411303918 479854571 548405224 822607836 959709142 1096810448 1439563713 1645215672 1919418284 2193620896 2879127426 3290431344 3838836568 4387241792 5758254852 6580862688 7677673136 11516509704 13161725376 15355346272 23033019408 30710692544 46066038816 92132077632