Search a number
-
+
10174163097312 = 253326943775657
BaseRepresentation
bin1001010000001101101101…
…1000001001011011100000
31100000122021220211021212000
42110003123120021123200
52313143141223103222
633345540200404000
72100026150265354
oct224033330113340
940018256737760
1010174163097312
113272924912885
1211839a2776600
1358a55b73a4a6
14272609a53464
151299beecd9ac
hex940db6096e0

10174163097312 has 96 divisors (see below), whose sum is σ = 29784957703200. Its totient is φ = 3378780232704.

The previous prime is 10174163097311. The next prime is 10174163097317. The reversal of 10174163097312 is 21379036147101.

10174163097312 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 4 + 1 + 630 + 9 + 7 + 3 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10174163097311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21655413 + ... + 22120244.

It is an arithmetic number, because the mean of its divisors is an integer number (310259976075).

Almost surely, 210174163097312 is an apocalyptic number.

10174163097312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10174163097312 is an abundant number, since it is smaller than the sum of its proper divisors (19610794605888).

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

10174163097312 is a wasteful number, since it uses less digits than its factorization.

10174163097312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43775945 (or 43775931 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 10174163097312 in words is "ten trillion, one hundred seventy-four billion, one hundred sixty-three million, ninety-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 269 288 432 538 807 864 1076 1614 2152 2421 3228 4304 4842 6456 7263 8608 9684 12912 14526 19368 25824 29052 38736 58104 77472 116208 232416 43775657 87551314 131326971 175102628 262653942 350205256 393980913 525307884 700410512 787961826 1050615768 1181942739 1400821024 1575923652 2101231536 2363885478 3151847304 4202463072 4727770956 6303694608 9455541912 11775651733 12607389216 18911083824 23551303466 35326955199 37822167648 47102606932 70653910398 94205213864 105980865597 141307820796 188410427728 211961731194 282615641592 317942596791 376820855456 423923462388 565231283184 635885193582 847846924776 1130462566368 1271770387164 1695693849552 2543540774328 3391387699104 5087081548656 10174163097312