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30407636712474 = 232731418921110111
BaseRepresentation
bin1101110100111110101000…
…11000100111110000011010
310222122221102111002022120200
412322133110120213300122
512441144314444244344
6144401024144403030
76255610404312120
oct672372430476032
9128587374068520
1030407636712474
11976389622057a
1234b1254016476
1313c7573c64468
14771a4788b910
1537ae8bd5c069
hex1ba7d4627c1a

30407636712474 has 384 divisors, whose sum is σ = 80903869562880. Its totient is φ = 8071176960000.

The previous prime is 30407636712469. The next prime is 30407636712577. The reversal of 30407636712474 is 47421763670403.

30407636712474 is a `hidden beast` number, since 3 + 0 + 4 + 0 + 76 + 36 + 71 + 2 + 474 = 666.

It is a super-3 number, since 3×304076367124743 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 30407636712474.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3007376679 + ... + 3007386789.

It is an arithmetic number, because the mean of its divisors is an integer number (210687160320).

Almost surely, 230407636712474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30407636712474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40451934781440).

30407636712474 is an abundant number, since it is smaller than the sum of its proper divisors (50496232850406).

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

30407636712474 is a wasteful number, since it uses less digits than its factorization.

30407636712474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10498 (or 10495 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 30407636712474 in words is "thirty trillion, four hundred seven billion, six hundred thirty-six million, seven hundred twelve thousand, four hundred seventy-four".