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75132214150450 = 252171937271248229
BaseRepresentation
bin10001000101010100010100…
…111011111000010100110010
3100212000120101011222122020211
4101011110110323320110302
534321431233310303300
6423443132424054334
721553060210105522
oct2105242473702462
9325016334878224
1075132214150450
1121a37436216816
1285151626043aa
1332bcc255b9b92
14147a5c0799682
158a45646404ba
hex445514ef8532

75132214150450 has 96 divisors (see below), whose sum is σ = 155795880211200. Its totient is φ = 26789169761280.

The previous prime is 75132214150447. The next prime is 75132214150453. The reversal of 75132214150450 is 5405141223157.

It is a happy number.

75132214150450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (75132214150447) and next prime (75132214150453).

It is not an unprimeable number, because it can be changed into a prime (75132214150453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59566936 + ... + 60815164.

It is an arithmetic number, because the mean of its divisors is an integer number (1622873752200).

Almost surely, 275132214150450 is an apocalyptic number.

75132214150450 is an abundant number, since it is smaller than the sum of its proper divisors (80663666060750).

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

75132214150450 is a wasteful number, since it uses less digits than its factorization.

75132214150450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252004 (or 1251999 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The spelling of 75132214150450 in words is "seventy-five trillion, one hundred thirty-two billion, two hundred fourteen million, one hundred fifty thousand, four hundred fifty".

Divisors: 1 2 5 10 17 19 25 34 38 50 85 95 170 190 323 425 475 646 850 950 1615 3230 3727 7454 8075 16150 18635 37270 63359 70813 93175 126718 141626 186350 316795 354065 633590 708130 1203821 1248229 1583975 1770325 2407642 2496458 3167950 3540650 6019105 6241145 12038210 12482290 21219893 23716351 30095525 31205725 42439786 47432702 60191050 62411450 106099465 118581755 212198930 237163510 403177967 530497325 592908775 806355934 1060994650 1185817550 2015889835 4031779670 4652149483 9304298966 10079449175 20158898350 23260747415 46521494830 79086541211 88390840177 116303737075 158173082422 176781680354 232607474150 395432706055 441954200885 790865412110 883908401770 1502644283009 1977163530275 2209771004425 3005288566018 3954327060550 4419542008850 7513221415045 15026442830090 37566107075225 75132214150450