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30479425152 = 2731111876079
BaseRepresentation
bin11100011000101101…
…110001111010000000
32220200011102020001020
4130120231301322000
5444410213101102
622000235505440
72126210560551
oct343055617200
986604366036
1030479425152
1111a20928270
125aa75b8280
132b497c5217
141691da6328
15bd5c7abbc
hex718b71e80

30479425152 has 128 divisors (see below), whose sum is σ = 88410009600. Its totient is φ = 9226890240.

The previous prime is 30479425117. The next prime is 30479425183. The reversal of 30479425152 is 25152497403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5010849 + ... + 5016927.

It is an arithmetic number, because the mean of its divisors is an integer number (690703200).

Almost surely, 230479425152 is an apocalyptic number.

30479425152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30479425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44205004800).

30479425152 is an abundant number, since it is smaller than the sum of its proper divisors (57930584448).

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

30479425152 is a wasteful number, since it uses less digits than its factorization.

30479425152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7294 (or 7282 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 30479425152 in words is "thirty billion, four hundred seventy-nine million, four hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1187 1408 2112 2374 3561 4224 4748 6079 7122 9496 12158 13057 14244 18237 18992 24316 26114 28488 36474 37984 39171 48632 52228 56976 66869 72948 75968 78342 97264 104456 113952 133738 145896 151936 156684 194528 200607 208912 227904 267476 291792 313368 389056 401214 417824 455808 534952 583584 626736 778112 802428 835648 1069904 1167168 1253472 1604856 1671296 2139808 2334336 2506944 3209712 4279616 5013888 6419424 7215773 8559232 12838848 14431546 21647319 25677696 28863092 43294638 57726184 79373503 86589276 115452368 158747006 173178552 230904736 238120509 317494012 346357104 461809472 476241018 634988024 692714208 923618944 952482036 1269976048 1385428416 1904964072 2539952096 2770856832 3809928144 5079904192 7619856288 10159808384 15239712576 30479425152