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21553123442500 = 2254136110871689
BaseRepresentation
bin1001110011010001110100…
…10001000011111101000100
32211022110101020020010121201
410321220322101003331010
510311111244100130000
6113501211311352244
74353106330325356
oct471507221037504
984273336203551
1021553123442500
11695a6a0327011
122501181522684
13c045b25b2390
14547268d950d6
152759a5dee96a
hex139a3a443f44

21553123442500 has 120 divisors (see below), whose sum is σ = 51590039371640. Its totient is φ = 7827615360000.

The previous prime is 21553123442497. The next prime is 21553123442509. The reversal of 21553123442500 is 524432135512.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 16555654250496 + 4997469192004 = 4068864^2 + 2235502^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21553123442500.

It is not an unprimeable number, because it can be changed into a prime (21553123442509) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3453345 + ... + 7418344.

Almost surely, 221553123442500 is an apocalyptic number.

21553123442500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21553123442500 is an abundant number, since it is smaller than the sum of its proper divisors (30036915929140).

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

21553123442500 is a wasteful number, since it uses less digits than its factorization.

21553123442500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10871787 (or 10871770 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 21553123442500 in words is "twenty-one trillion, five hundred fifty-three billion, one hundred twenty-three million, four hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 61 65 100 122 125 130 244 250 260 305 325 500 610 625 650 793 1220 1250 1300 1525 1586 1625 2500 3050 3172 3250 3965 6100 6500 7625 7930 8125 15250 15860 16250 19825 30500 32500 38125 39650 76250 79300 99125 152500 198250 396500 495625 991250 1982500 10871689 21743378 43486756 54358445 108716890 141331957 217433780 271792225 282663914 543584450 565327828 663173029 706659785 1087168900 1326346058 1358961125 1413319570 2652692116 2717922250 2826639140 3315865145 3533298925 5435844500 6631730290 6794805625 7066597850 8621249377 13263460580 13589611250 14133195700 16579325725 17242498754 17666494625 27179222500 33158651450 34484997508 35332989250 43106246885 66317302900 70665978500 82896628625 86212493770 88332473125 165793257250 172424987540 176664946250 215531234425 331586514500 353329892500 414483143125 431062468850 828966286250 862124937700 1077656172125 1657932572500 2155312344250 4310624688500 5388280860625 10776561721250 21553123442500