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10048689504 = 253272712067
BaseRepresentation
bin10010101101111001…
…01101010101100000
3221221022101022120100
421112330231111200
5131034431031004
64341042142400
7504005310600
oct112674552540
927838338510
1010048689504
114297250177
121b45351a00
13c41b07229
146b47d8c00
153dc2c9739
hex256f2d560

10048689504 has 108 divisors (see below), whose sum is σ = 33241470444. Its totient is φ = 2871050112.

The previous prime is 10048689499. The next prime is 10048689509. The reversal of 10048689504 is 40598684001.

10048689504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10048689499) and next prime (10048689509).

It is a self number, because there is not a number n which added to its sum of digits gives 10048689504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10048689509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 341922 + ... + 370145.

It is an arithmetic number, because the mean of its divisors is an integer number (307791393).

Almost surely, 210048689504 is an apocalyptic number.

10048689504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10048689504 is an abundant number, since it is smaller than the sum of its proper divisors (23192780940).

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

10048689504 is a wasteful number, since it uses less digits than its factorization.

10048689504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712097 (or 712079 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10048689504 in words is "ten billion, forty-eight million, six hundred eighty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 712067 1424134 2136201 2848268 4272402 4984469 5696536 6408603 8544804 9968938 11393072 12817206 14953407 17089608 19937876 22786144 25634412 29906814 34179216 34891283 39875752 44860221 51268824 59813628 68358432 69782566 79751504 89720442 102537648 104673849 119627256 139565132 159503008 179440884 205075296 209347698 239254512 279130264 314021547 358881768 418695396 478509024 558260528 628043094 717763536 837390792 1116521056 1256086188 1435527072 1674781584 2512172376 3349563168 5024344752 10048689504