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104552211252240 = 24325187423774779
BaseRepresentation
bin10111110001011011110101…
…011010011000010000010000
3111201012002112100220100220100
4113301123311122120100100
5102200440412040032430
61010210342304212400
731010435155303233
oct2761336532302020
9451162470810810
10104552211252240
113034a386643884
12b886b0400a100
134645300ca032b
141bb64d563141a
15c14999e43960
hex5f16f5698410

104552211252240 has 120 divisors (see below), whose sum is σ = 351123502728960. Its totient is φ = 27880404924672.

The previous prime is 104552211252239. The next prime is 104552211252301. The reversal of 104552211252240 is 42252112255401.

It is a happy number.

104552211252240 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 522 + 1 + 125 + 2 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104552211252195 and 104552211252204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134557171 + ... + 135331949.

It is an arithmetic number, because the mean of its divisors is an integer number (2926029189408).

Almost surely, 2104552211252240 is an apocalyptic number.

104552211252240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104552211252240 is an abundant number, since it is smaller than the sum of its proper divisors (246571291476720).

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

104552211252240 is a wasteful number, since it uses less digits than its factorization.

104552211252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962221 (or 962212 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 104552211252240 in words is "one hundred four trillion, five hundred fifty-two billion, two hundred eleven million, two hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 187423 374846 562269 749692 774779 937115 1124538 1499384 1549558 1686807 1874230 2249076 2324337 2811345 2998768 3099116 3373614 3748460 3873895 4498152 4648674 5622690 6198232 6747228 6973011 7496920 7747790 8434035 8996304 9297348 11245380 11621685 12396464 13494456 13946022 14993840 15495580 16868070 18594696 22490760 23243370 26988912 27892044 30991160 33736140 34865055 37189392 44981520 46486740 55784088 61982320 67472280 69730110 92973480 111568176 134944560 139460220 185946960 278920440 557840880 145211404517 290422809034 435634213551 580845618068 726057022585 871268427102 1161691236136 1306902640653 1452114045170 1742536854204 2178171067755 2323382472272 2613805281306 2904228090340 3485073708408 4356342135510 5227610562612 5808456180680 6534513203265 6970147416816 8712684271020 10455221125224 11616912361360 13069026406530 17425368542040 20910442250448 26138052813060 34850737084080 52276105626120 104552211252240