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10412696832 = 283103139947
BaseRepresentation
bin10011011001010010…
…10010010100000000
3222212200022210202020
421230221102110000
5132311122244312
64441124121440
7516015314466
oct115451222400
928780283666
1010412696832
11446377227a
122027236280
13c9c355c95
1470acb0836
1540e22d78c
hex26ca52500

10412696832 has 144 divisors (see below), whose sum is σ = 28213086720. Its totient is φ = 3408869376.

The previous prime is 10412696803. The next prime is 10412696839. The reversal of 10412696832 is 23869621401.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412696839) 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, 10994983 + ... + 10995929.

Almost surely, 210412696832 is an apocalyptic number.

10412696832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10412696832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106543360).

10412696832 is an abundant number, since it is smaller than the sum of its proper divisors (17800389888).

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

10412696832 is a wasteful number, since it uses less digits than its factorization.

10412696832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 10412696832 in words is "ten billion, four hundred twelve million, six hundred ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 139 192 206 256 278 309 384 412 417 556 618 768 824 834 947 1112 1236 1648 1668 1894 2224 2472 2841 3296 3336 3788 4448 4944 5682 6592 6672 7576 8896 9888 11364 13184 13344 14317 15152 17792 19776 22728 26368 26688 28634 30304 35584 39552 42951 45456 53376 57268 60608 79104 85902 90912 97541 106752 114536 121216 131633 171804 181824 195082 229072 242432 263266 292623 343608 363648 390164 394899 458144 526532 585246 687216 727296 780328 789798 916288 1053064 1170492 1374432 1560656 1579596 1832576 2106128 2340984 2748864 3121312 3159192 3665152 4212256 4681968 5497728 6242624 6318384 8424512 9363936 10995456 12485248 12636768 13558199 16849024 18727872 24970496 25273536 27116398 33698048 37455744 40674597 50547072 54232796 74911488 81349194 101094144 108465592 162698388 216931184 325396776 433862368 650793552 867724736 1301587104 1735449472 2603174208 3470898944 5206348416 10412696832