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30475546976 = 257712137197
BaseRepresentation
bin11100011000011110…
…111111000101100000
32220122220010012012002
4130120132333011200
5444403220000401
622000020423132
72126132606120
oct343036770540
986586105162
1030475546976
1111a19719566
125aa6247aa8
132b48a67c44
141691676c80
15bd5761a6b
hex7187bf160

30475546976 has 144 divisors (see below), whose sum is σ = 70412636448. Its totient is φ = 12718110720.

The previous prime is 30475546973. The next prime is 30475546979. The reversal of 30475546976 is 67964557403.

It is an interprime number because it is at equal distance from previous prime (30475546973) and next prime (30475546979).

It is a super-3 number, since 3×304755469763 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30475546973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154698110 + ... + 154698306.

It is an arithmetic number, because the mean of its divisors is an integer number (488976642).

Almost surely, 230475546976 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 30475546976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35206318224).

30475546976 is an abundant number, since it is smaller than the sum of its proper divisors (39937089472).

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

30475546976 is a wasteful number, since it uses less digits than its factorization.

30475546976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 56.

The spelling of 30475546976 in words is "thirty billion, four hundred seventy-five million, five hundred forty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 137 142 197 224 274 284 394 497 548 568 788 959 994 1096 1136 1379 1576 1918 1988 2192 2272 2758 3152 3836 3976 4384 5041 5516 6304 7672 7952 9727 10082 11032 13987 15344 15904 19454 20164 22064 26989 27974 30688 35287 38908 40328 44128 53978 55948 68089 70574 77816 80656 97909 107956 111896 136178 141148 155632 161312 188923 195818 215912 223792 272356 282296 311264 377846 391636 431824 447584 544712 564592 690617 755692 783272 863648 993077 1089424 1129184 1381234 1511384 1566544 1916219 1986154 2178848 2762468 3022768 3133088 3832438 3972308 4834319 5524936 6045536 6951539 7664876 7944616 9668638 11049872 13413533 13903078 15329752 15889232 19337276 22099744 26827066 27806156 30659504 31778464 38674552 53654132 55612312 61319008 77349104 107308264 111224624 136051549 154698208 214616528 222449248 272103098 429233056 544206196 952360843 1088412392 1904721686 2176824784 3809443372 4353649568 7618886744 15237773488 30475546976