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30157540272 = 24373723293
BaseRepresentation
bin11100000101100001…
…111000101110110000
32212211201201210000000
4130011201320232300
5443230312242042
621504300430000
72115221601636
oct340541705660
985751653000
1030157540272
1111876166402
125a17848300
132ac7c040b2
141661337356
15bb789774c
hex705878bb0

30157540272 has 160 divisors (see below), whose sum is σ = 90004288960. Its totient is φ = 9780403968.

The previous prime is 30157540181. The next prime is 30157540279. The reversal of 30157540272 is 27204575103.

30157540272 is a `hidden beast` number, since 30 + 15 + 7 + 540 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30157540279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1283058 + ... + 1306350.

It is an arithmetic number, because the mean of its divisors is an integer number (562526806).

Almost surely, 230157540272 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 30157540272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45002144480).

30157540272 is an abundant number, since it is smaller than the sum of its proper divisors (59846748688).

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

30157540272 is an equidigital number, since it uses as much as digits as its factorization.

30157540272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23359 (or 23335 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 30157540272 in words is "thirty billion, one hundred fifty-seven million, five hundred forty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 243 296 324 333 432 444 486 592 648 666 729 888 972 999 1296 1332 1458 1776 1944 1998 2187 2664 2916 2997 3888 3996 4374 5328 5832 5994 7992 8748 8991 11664 11988 15984 17496 17982 23293 23976 26973 34992 35964 46586 47952 53946 69879 71928 80919 93172 107892 139758 143856 161838 186344 209637 215784 279516 323676 372688 419274 431568 559032 628911 647352 838548 861841 1118064 1257822 1294704 1677096 1723682 1886733 2515644 2585523 3354192 3447364 3773466 5031288 5171046 5660199 6894728 7546932 7756569 10062576 10342092 11320398 13789456 15093864 15513138 16980597 20684184 22640796 23269707 30187728 31026276 33961194 41368368 45281592 46539414 50941791 62052552 67922388 69809121 90563184 93078828 101883582 124105104 135844776 139618242 186157656 203767164 209427363 271689552 279236484 372315312 407534328 418854726 558472968 628282089 815068656 837709452 1116945936 1256564178 1675418904 1884846267 2513128356 3350837808 3769692534 5026256712 7539385068 10052513424 15078770136 30157540272