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10744623432 = 2334531931621
BaseRepresentation
bin10100000000110110…
…11111000101001000
31000201210220102110000
422000123133011020
5134001110422212
64534102323000
7530155535514
oct120033370510
930653812400
1010744623432
114614072684
1220ba429460
13102305195a
1473cdd5144
1542d4471dc
hex2806df148

10744623432 has 160 divisors (see below), whose sum is σ = 30840610680. Its totient is φ = 3493601280.

The previous prime is 10744623353. The next prime is 10744623451. The reversal of 10744623432 is 23432644701.

It can be written as a sum of positive squares in 4 ways, for example, as 9969223716 + 775399716 = 99846^2 + 27846^2 .

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6627582 + ... + 6629202.

Almost surely, 210744623432 is an apocalyptic number.

10744623432 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 10744623432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15420305340).

10744623432 is an abundant number, since it is smaller than the sum of its proper divisors (20095987248).

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

10744623432 is a wasteful number, since it uses less digits than its factorization.

10744623432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 10744623432 in words is "ten billion, seven hundred forty-four million, six hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 193 212 216 318 324 386 424 477 579 636 648 772 954 1158 1272 1431 1544 1621 1737 1908 2316 2862 3242 3474 3816 4293 4632 4863 5211 5724 6484 6948 8586 9726 10229 10422 11448 12968 13896 14589 15633 17172 19452 20458 20844 29178 30687 31266 34344 38904 40916 41688 43767 58356 61374 62532 81832 85913 87534 92061 116712 122748 125064 131301 171826 175068 184122 245496 257739 262602 276183 312853 343652 350136 368244 515478 525204 552366 625706 687304 736488 773217 828549 938559 1030956 1050408 1104732 1251412 1546434 1657098 1877118 2061912 2209464 2319651 2502824 2815677 3092868 3314196 3754236 4639302 5631354 6185736 6628392 6958953 7508472 8447031 9278604 11262708 13917906 16581209 16894062 18557208 22525416 25341093 27835812 33162418 33788124 49743627 50682186 55671624 66324836 67576248 99487254 101364372 132649672 149230881 198974508 202728744 298461762 397949016 447692643 596923524 895385286 1193847048 1343077929 1790770572 2686155858 3581541144 5372311716 10744623432