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332825081891380 = 2251341233133999421
BaseRepresentation
bin100101110101100111110000…
…0110001110100101000110100
31121122102202201012122000221221
41023223033200301310220310
5322111001231431011010
63135505422024520124
7130050550540062211
oct11353174061645064
91548382635560857
10332825081891380
1197059362aa5301
12313b3892620044
1311393369531530
145c28b69bbab08
1528728268a3dda
hex12eb3e0c74a34

332825081891380 has 96 divisors (see below), whose sum is σ = 774364435816608. Its totient is φ = 119377403289600.

The previous prime is 332825081891369. The next prime is 332825081891399. The reversal of 332825081891380 is 83198180528233.

It can be written as a sum of positive squares in 16 ways, for example, as 312537282268176 + 20287799623204 = 17678724^2 + 4504198^2 .

It is a super-2 number, since 2×3328250818913802 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64515931 + ... + 69483490.

It is an arithmetic number, because the mean of its divisors is an integer number (8066296206423).

Almost surely, 2332825081891380 is an apocalyptic number.

It is an amenable number.

332825081891380 is an abundant number, since it is smaller than the sum of its proper divisors (441539353925228).

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

332825081891380 is a wasteful number, since it uses less digits than its factorization.

332825081891380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133999717 (or 133999715 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 61.

The spelling of 332825081891380 in words is "three hundred thirty-two trillion, eight hundred twenty-five billion, eighty-one million, eight hundred ninety-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 233 260 410 466 533 820 932 1066 1165 2132 2330 2665 3029 4660 5330 6058 9553 10660 12116 15145 19106 30290 38212 47765 60580 95530 124189 191060 248378 496756 620945 1241890 2483780 133999421 267998842 535997684 669997105 1339994210 1741992473 2679988420 3483984946 5493976261 6967969892 8709962365 10987952522 17419924730 21975905044 27469881305 31221865093 34839849460 54939762610 62443730186 71421691393 109879525220 124887460372 142843382786 156109325465 285686765572 312218650930 357108456965 405884246209 624437301860 714216913930 811768492418 1280096468813 1428433827860 1623536984836 2029421231045 2560192937626 4058842462090 5120385875252 6400482344065 8117684924180 12800964688130 16641254094569 25601929376260 33282508189138 66565016378276 83206270472845 166412540945690 332825081891380