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10412520448 = 210112194423
BaseRepresentation
bin10011011001010001…
…00111010000000000
3222212122222211210111
421230220213100000
5132311101123243
64441120241104
7516013651321
oct115450472000
928778884714
1010412520448
114463661800
122027170194
13c9c2c3905
1470ac66448
1540e1e639d
hex26ca27400

10412520448 has 132 divisors (see below), whose sum is σ = 24088768480. Its totient is φ = 4482846720.

The previous prime is 10412520413. The next prime is 10412520449. The reversal of 10412520448 is 84402521401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412520449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2351965 + ... + 2356387.

Almost surely, 210412520448 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 10412520448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12044384240).

10412520448 is an abundant number, since it is smaller than the sum of its proper divisors (13676248032).

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

10412520448 is a wasteful number, since it uses less digits than its factorization.

10412520448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4484 (or 4455 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The spelling of 10412520448 in words is "ten billion, four hundred twelve million, five hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 121 128 152 176 209 242 256 304 352 418 484 512 608 704 836 968 1024 1216 1408 1672 1936 2299 2432 2816 3344 3872 4423 4598 4864 5632 6688 7744 8846 9196 9728 11264 13376 15488 17692 18392 19456 26752 30976 35384 36784 48653 53504 61952 70768 73568 84037 97306 107008 123904 141536 147136 168074 194612 214016 283072 294272 336148 389224 535183 566144 588544 672296 778448 924407 1070366 1132288 1177088 1344592 1556896 1848814 2140732 2264576 2354176 2689184 3113792 3697628 4281464 4529152 5378368 6227584 7395256 8562928 10168477 10756736 12455168 14790512 17125856 20336954 21513472 24910336 29581024 34251712 40673908 43026944 49820672 59162048 68503424 81347816 86053888 118324096 137006848 162695632 236648192 274013696 325391264 473296384 548027392 650782528 946592768 1301565056 2603130112 5206260224 10412520448