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30118809408 = 2637912131637
BaseRepresentation
bin11100000011001110…
…001000111101000000
32212202000212001020120
4130003032020331000
5443140403400113
621500354340240
72114241440652
oct340316107500
985660761216
1030118809408
1111856312326
125a0688a680
132abcb9311c
14165a1346d2
15bb4296a23
hex703388f40

30118809408 has 112 divisors (see below), whose sum is σ = 80813940480. Its totient is φ = 9898297344.

The previous prime is 30118809401. The next prime is 30118809431. The reversal of 30118809408 is 80490881103.

It is a self number, because there is not a number n which added to its sum of digits gives 30118809408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30118809401) 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, 18397966 + ... + 18399602.

It is an arithmetic number, because the mean of its divisors is an integer number (721553040).

Almost surely, 230118809408 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 30118809408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40406970240).

30118809408 is an abundant number, since it is smaller than the sum of its proper divisors (50695131072).

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

30118809408 is a wasteful number, since it uses less digits than its factorization.

30118809408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 30118809408 in words is "thirty billion, one hundred eighteen million, eight hundred nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1213 1264 1637 1896 2426 2528 3274 3639 3792 4852 4911 5056 6548 7278 7584 9704 9822 13096 14556 15168 19408 19644 26192 29112 38816 39288 52384 58224 77632 78576 95827 104768 116448 129323 157152 191654 232896 258646 287481 314304 383308 387969 517292 574962 766616 775938 1034584 1149924 1533232 1551876 1985681 2069168 2299848 3066464 3103752 3971362 4138336 4599696 5957043 6132928 6207504 7942724 8276672 9199392 11914086 12415008 15885448 18398784 23828172 24830016 31770896 47656344 63541792 95312688 127083584 156868799 190625376 313737598 381250752 470606397 627475196 941212794 1254950392 1882425588 2509900784 3764851176 5019801568 7529702352 10039603136 15059404704 30118809408