Search a number
-
+
72042957312 = 293227367563
BaseRepresentation
bin100001100011000011…
…0000100101000000000
320212221210112102110020
41003012012010220000
52140020444113222
653032430333440
75130202014264
oct1030606045000
9225853472406
1072042957312
112860a40a147
1211b6705a280
136a41782631
1436b60940a4
151d19b5b65c
hex10c6184a00

72042957312 has 160 divisors (see below), whose sum is σ = 193641034752. Its totient is φ = 23801032704.

The previous prime is 72042957277. The next prime is 72042957319. The reversal of 72042957312 is 21375924027.

It is not an unprimeable number, because it can be changed into a prime (72042957319) 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, 127962343 + ... + 127962905.

Almost surely, 272042957312 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 72042957312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96820517376).

72042957312 is an abundant number, since it is smaller than the sum of its proper divisors (121598077440).

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

72042957312 is a wasteful number, since it uses less digits than its factorization.

72042957312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 72042957312 in words is "seventy-two billion, forty-two million, nine hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 256 367 384 454 512 563 681 734 768 908 1101 1126 1362 1468 1536 1689 1816 2202 2252 2724 2936 3378 3632 4404 4504 5448 5872 6756 7264 8808 9008 10896 11744 13512 14528 17616 18016 21792 23488 27024 29056 35232 36032 43584 46976 54048 58112 70464 72064 83309 87168 93952 108096 116224 127801 140928 144128 166618 174336 187904 206621 216192 249927 255602 281856 288256 333236 348672 383403 413242 432384 499854 511204 563712 619863 666472 766806 826484 864768 999708 1022408 1239726 1332944 1533612 1652968 1999416 2044816 2479452 2665888 3067224 3305936 3998832 4089632 4958904 5331776 6134448 6611872 7997664 8179264 9917808 10663552 12268896 13223744 15995328 16358528 19835616 21327104 24537792 26447488 31990656 32717056 39671232 42654208 46902967 49075584 52894976 63981312 65434112 79342464 93805934 98151168 105789952 127962624 140708901 158684928 187611868 196302336 281417802 317369856 375223736 562835604 750447472 1125671208 1500894944 2251342416 3001789888 4502684832 6003579776 9005369664 12007159552 18010739328 24014319104 36021478656 72042957312