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4119145056 = 253313366733
BaseRepresentation
bin1111010110000101…
…0010101001100000
3101122001220020202000
43311201102221200
531414000120211
61520423324000
7204035104155
oct36541225140
911561806660
104119145056
111824171714
1296b5b0600
13508509450
142b10ca22c
1519195c656
hexf5852a60

4119145056 has 96 divisors (see below), whose sum is σ = 12938375520. Its totient is φ = 1267425792.

The previous prime is 4119145039. The next prime is 4119145087. The reversal of 4119145056 is 6505419114.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4119145056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172135 + ... + 194598.

It is an arithmetic number, because the mean of its divisors is an integer number (134774745).

Almost surely, 24119145056 is an apocalyptic number.

It is an amenable number.

4119145056 is an abundant number, since it is smaller than the sum of its proper divisors (8819230464).

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

4119145056 is a wasteful number, since it uses less digits than its factorization.

4119145056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366765 (or 366751 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 4119145056 is about 64180.5660305361. The cubic root of 4119145056 is about 1603.0080205057.

The spelling of 4119145056 in words is "four billion, one hundred nineteen million, one hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 366733 733466 1100199 1466932 2200398 2933864 3300597 4400796 4767529 5867728 6601194 8801592 9535058 9901791 11735456 13202388 14302587 17603184 19070116 19803582 26404776 28605174 35206368 38140232 39607164 42907761 52809552 57210348 76280464 79214328 85815522 105619104 114420696 128723283 152560928 158428656 171631044 228841392 257446566 316857312 343262088 457682784 514893132 686524176 1029786264 1373048352 2059572528 4119145056