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100246969056 = 25313233492439
BaseRepresentation
bin101110101011100101…
…1110101101011100000
3100120202101100200002210
41131113023311223200
53120301211002211
6114015224242120
710146133114623
oct1352713655340
9316671320083
10100246969056
1139572889663
1217518610340
1395b7a30690
144bcdb8bdba
15291ac709a6
hex17572f5ae0

100246969056 has 96 divisors (see below), whose sum is σ = 295711879680. Its totient is φ = 29504116224.

The previous prime is 100246969049. The next prime is 100246969057. The reversal of 100246969056 is 650969642001.

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

It is a super-2 number, since 2×1002469690562 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 100246968996 and 100246969014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100246969057) 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, 1717516 + ... + 1774923.

It is an arithmetic number, because the mean of its divisors is an integer number (3080332080).

Almost surely, 2100246969056 is an apocalyptic number.

100246969056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100246969056 is an abundant number, since it is smaller than the sum of its proper divisors (195464910624).

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

100246969056 is a wasteful number, since it uses less digits than its factorization.

100246969056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492488 (or 3492480 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 100246969056 in words is "one hundred billion, two hundred forty-six million, nine hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 184 208 276 299 312 368 416 552 598 624 736 897 1104 1196 1248 1794 2208 2392 3588 4784 7176 9568 14352 28704 3492439 6984878 10477317 13969756 20954634 27939512 41909268 45401707 55879024 80326097 83818536 90803414 111758048 136205121 160652194 167637072 181606828 240978291 272410242 321304388 335274144 363213656 481956582 544820484 642608776 726427312 963913164 1044239261 1089640968 1285217552 1452854624 1927826328 2088478522 2179281936 2570435104 3132717783 3855652656 4176957044 4358563872 6265435566 7711305312 8353914088 12530871132 16707828176 25061742264 33415656352 50123484528 100246969056