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30400264752 = 243111341108023
BaseRepresentation
bin11100010011111111…
…110011101000110000
32220110122110110101120
4130103333303220300
5444224431433002
621544331102240
72124226662324
oct342377635060
986418413346
1030400264752
111199017a950
125a84ba1980
132b3629a050
14168567b984
15bcdd40cbc
hex713ff3a30

30400264752 has 160 divisors (see below), whose sum is σ = 94514950656. Its totient is φ = 8296089600.

The previous prime is 30400264733. The next prime is 30400264777. The reversal of 30400264752 is 25746200403.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 227413 + ... + 335435.

Almost surely, 230400264752 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 30400264752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47257475328).

30400264752 is an abundant number, since it is smaller than the sum of its proper divisors (64114685904).

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

30400264752 is a wasteful number, since it uses less digits than its factorization.

30400264752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108099 (or 108093 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 30400264752 in words is "thirty billion, four hundred million, two hundred sixty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 41 44 48 52 66 78 82 88 104 123 132 143 156 164 176 208 246 264 286 312 328 429 451 492 528 533 572 624 656 858 902 984 1066 1144 1353 1599 1716 1804 1968 2132 2288 2706 3198 3432 3608 4264 5412 5863 6396 6864 7216 8528 10824 11726 12792 17589 21648 23452 25584 35178 46904 70356 93808 108023 140712 216046 281424 324069 432092 648138 864184 1188253 1296276 1404299 1728368 2376506 2592552 2808598 3564759 4212897 4428943 4753012 5185104 5617196 7129518 8425794 8857886 9506024 11234392 13286829 14259036 15447289 16851588 17715772 19012048 22468784 26573658 28518072 30894578 33703176 35431544 46341867 48718373 53147316 57036144 57576259 61789156 67406352 70863088 92683734 97436746 106294632 115152518 123578312 146155119 172728777 185367468 194873492 212589264 230305036 247156624 292310238 345457554 370734936 389746984 460610072 584620476 633338849 690915108 741469872 779493968 921220144 1169240952 1266677698 1381830216 1900016547 2338481904 2533355396 2763660432 3800033094 5066710792 7600066188 10133421584 15200132376 30400264752