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93872114232 = 233134338318269
BaseRepresentation
bin101011101101100110…
…1101100101000111000
322222022002221111021120
41113123031230220320
53014222230123412
6111042501105240
76532144543221
oct1273315545070
9288262844246
1093872114232
11368a13a78a6
12162396b8220
138b100b8630
144787282248
15269628eb8c
hex15db36ca38

93872114232 has 128 divisors (see below), whose sum is σ = 259299532800. Its totient is φ = 28136812032.

The previous prime is 93872114143. The next prime is 93872114243. The reversal of 93872114232 is 23241127839.

It is a congruent number.

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, 5129194 + ... + 5147462.

It is an arithmetic number, because the mean of its divisors is an integer number (2025777600).

Almost surely, 293872114232 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 93872114232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129649766400).

93872114232 is an abundant number, since it is smaller than the sum of its proper divisors (165427418568).

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

93872114232 is a wasteful number, since it uses less digits than its factorization.

93872114232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18717 (or 18713 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The spelling of 93872114232 in words is "ninety-three billion, eight hundred seventy-two million, one hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 383 516 559 766 1032 1118 1149 1532 1677 2236 2298 3064 3354 4472 4596 4979 6708 9192 9958 13416 14937 16469 18269 19916 29874 32938 36538 39832 49407 54807 59748 65876 73076 98814 109614 119496 131752 146152 197628 214097 219228 237497 395256 428194 438456 474994 642291 712491 785567 856388 949988 1284582 1424982 1571134 1712776 1899976 2356701 2569164 2849964 3142268 4713402 5138328 5699928 6284536 6997027 9426804 10212371 13994054 18853608 20424742 20991081 27988108 30637113 40849484 41982162 55976216 61274226 81698968 83964324 90961351 122548452 167928648 181922702 245096904 272884053 300872161 363845404 545768106 601744322 727690808 902616483 1091536212 1203488644 1805232966 2183072424 2406977288 3610465932 3911338093 7220931864 7822676186 11734014279 15645352372 23468028558 31290704744 46936057116 93872114232