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748280208132 = 22328910119311981
BaseRepresentation
bin10101110001110001111…
…10011101101100000100
32122112102221020002102200
422320320332131230010
544224434213130012
61331431041434500
7105030036552552
oct12707076355404
92575387202380
10748280208132
11269386740656
1210103163ba30
1355740b20932
142830747abd2
15146e79893dc
hexae38f9db04

748280208132 has 144 divisors (see below), whose sum is σ = 1941847493040. Its totient is φ = 242896896000.

The previous prime is 748280208119. The next prime is 748280208167. The reversal of 748280208132 is 231802082847.

It can be written as a sum of positive squares in 8 ways, for example, as 62408033856 + 685872174276 = 249816^2 + 828174^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62449582 + ... + 62461562.

It is an arithmetic number, because the mean of its divisors is an integer number (13485052035).

Almost surely, 2748280208132 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 748280208132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970923746520).

748280208132 is an abundant number, since it is smaller than the sum of its proper divisors (1193567284908).

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

748280208132 is a wasteful number, since it uses less digits than its factorization.

748280208132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12374 (or 12369 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 748280208132 in words is "seven hundred forty-eight billion, two hundred eighty million, two hundred eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 89 101 178 193 202 267 303 356 386 404 534 579 606 772 801 909 1068 1158 1212 1602 1737 1818 2316 3204 3474 3636 6948 8989 11981 17177 17978 19493 23962 26967 34354 35943 35956 38986 47924 51531 53934 58479 68708 71886 77972 80901 103062 107829 107868 116958 143772 154593 161802 175437 206124 215658 233916 309186 323604 350874 431316 618372 701748 1066309 1210081 1734877 2132618 2312333 2420162 3198927 3469754 3630243 4265236 4624666 4840324 5204631 6397854 6936999 6939508 7260486 9249332 9596781 10409262 10890729 12795708 13873998 14520972 15613893 19193562 20810997 20818524 21781458 27747996 31227786 38387124 41621994 43562916 62455572 83243988 107697209 205797637 215394418 233545633 323091627 411595274 430788836 467091266 617392911 646183254 700636899 823190548 934182532 969274881 1234785822 1292366508 1401273798 1852178733 1938549762 2101910697 2469571644 2802547596 3704357466 3877099524 4203821394 7408714932 8407642788 20785561337 41571122674 62356684011 83142245348 124713368022 187070052033 249426736044 374140104066 748280208132