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34630537944464 = 2472114015600411
BaseRepresentation
bin1111101111111000011001…
…11010011001110110010000
311112121122110201202211100122
413313330030322121312100
514014341320203210324
6201353014405405412
710202655004450400
oct767741472316620
9145548421684318
1034630537944464
1110041801942950
123a73769109868
1316428518393b7
1487a1ac60a800
15400c46a8ba5e
hex1f7f0ce99d90

34630537944464 has 60 divisors (see below), whose sum is σ = 85146791136048. Its totient is φ = 13492417377600.

The previous prime is 34630537944463. The next prime is 34630537944473. The reversal of 34630537944464 is 46444973503643.

34630537944464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 34630537944397 and 34630537944406.

It is not an unprimeable number, because it can be changed into a prime (34630537944463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2007791582 + ... + 2007808829.

Almost surely, 234630537944464 is an apocalyptic number.

It is an amenable number.

34630537944464 is an abundant number, since it is smaller than the sum of its proper divisors (50516253191584).

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

34630537944464 is a wasteful number, since it uses less digits than its factorization.

34630537944464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015600444 (or 4015600431 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 62.

The spelling of 34630537944464 in words is "thirty-four trillion, six hundred thirty billion, five hundred thirty-seven million, nine hundred forty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 1078 1232 2156 4312 8624 4015600411 8031200822 16062401644 28109202877 32124803288 44171604521 56218405754 64249606576 88343209042 112436811508 176686418084 196764420139 224873623016 309201231647 353372836168 393528840278 449747246032 618402463294 706745672336 787057680556 1236804926588 1574115361112 2164408621529 2473609853176 3148230722224 4328817243058 4947219706352 8657634486116 17315268972232 34630537944464