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5348007922104 = 2332312427118097
BaseRepresentation
bin100110111010010111000…
…0111001100100110111000
3200221021010212102021122100
41031310232013030212320
51200110210012001404
615212501350023400
71061244423202131
oct115645607144670
920837125367570
105348007922104
111782094060241
12724591047b60
132ca413030373
14146bb8822c88
15941a9929d39
hex4dd2e1cc9b8

5348007922104 has 144 divisors (see below), whose sum is σ = 14970823414560. Its totient is φ = 1724664614400.

The previous prime is 5348007922099. The next prime is 5348007922109. The reversal of 5348007922104 is 4012297008435.

5348007922104 is a `hidden beast` number, since 5 + 348 + 0 + 0 + 7 + 92 + 210 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5348007922099) and next prime (5348007922109).

It is a self number, because there is not a number n which added to its sum of digits gives 5348007922104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5348007922109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 295509984 + ... + 295528080.

It is an arithmetic number, because the mean of its divisors is an integer number (103964051490).

Almost surely, 25348007922104 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 5348007922104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7485411707280).

5348007922104 is an abundant number, since it is smaller than the sum of its proper divisors (9622815492456).

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

5348007922104 is a wasteful number, since it uses less digits than its factorization.

5348007922104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22442 (or 22404 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 5348007922104 in words is "five trillion, three hundred forty-eight billion, seven million, nine hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 961 1116 1922 2232 2883 3844 4271 5766 7688 8542 8649 11532 12813 17084 17298 18097 23064 25626 34168 34596 36194 38439 51252 54291 69192 72388 76878 102504 108582 132401 144776 153756 162873 217164 264802 307512 325746 397203 434328 529604 561007 651492 794406 1059208 1122014 1191609 1302984 1588812 1683021 2244028 2383218 3177624 3366042 4104431 4488056 4766436 5049063 6732084 8208862 9532872 10098126 12313293 13464168 16417724 17391217 20196252 24626586 32835448 34782434 36939879 40392504 49253172 52173651 69564868 73879758 77292287 98506344 104347302 139129736 147759516 154584574 156520953 208694604 231876861 295519032 309169148 313041906 417389208 463753722 618338296 626083812 695630583 927507444 1252167624 1391261166 1855014888 2396060897 2782522332 4792121794 5565044664 7188182691 9584243588 14376365382 19168487176 21564548073 28752730764 43129096146 57505461528 74277887807 86258192292 148555775614 172516384584 222833663421 297111551228 445667326842 594223102456 668500990263 891334653684 1337001980526 1782669307368 2674003961052 5348007922104