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390070245924 = 2232432437103399
BaseRepresentation
bin1011010110100011111…
…11111001101000100100
31101021211122222121011100
411223101333321220210
522342330440332144
6455110143040100
740116206245452
oct5532177715044
91337748877140
10390070245924
11140478537177
12637218a0030
132aa25377608
1414c454c79d2
15a22ecb4269
hex5ad1ff9a24

390070245924 has 72 divisors (see below), whose sum is σ = 1009365156800. Its totient is φ = 126946274112.

The previous prime is 390070245913. The next prime is 390070245977. The reversal of 390070245924 is 429542070093.

390070245924 is a `hidden beast` number, since 39 + 0 + 0 + 7 + 0 + 24 + 592 + 4 = 666.

It is a super-2 number, since 2×3900702459242 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 390070245924.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3720777 + ... + 3824175.

Almost surely, 2390070245924 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 390070245924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504682578400).

390070245924 is an abundant number, since it is smaller than the sum of its proper divisors (619294910876).

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

390070245924 is a wasteful number, since it uses less digits than its factorization.

390070245924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105889 (or 105884 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 390070245924 in words is "three hundred ninety billion, seventy million, two hundred forty-five thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 2437 4874 7311 9748 14622 21933 29244 43866 87732 103399 104791 206798 209582 310197 314373 413596 419164 620394 628746 930591 943119 1240788 1257492 1861182 1886238 3722364 3772476 4446157 8892314 13338471 17784628 26676942 40015413 53353884 80030826 160061652 251983363 503966726 755950089 1007933452 1511900178 2267850267 3023800356 4535700534 9071401068 10835284609 21670569218 32505853827 43341138436 65011707654 97517561481 130023415308 195035122962 390070245924