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135025305926432 = 251710716073144323
BaseRepresentation
bin11110101100111000000111…
…011001010011101100100000
3122201002021220201200200011112
4132230320013121103230200
5120144223311304121212
61155101434052202452
740304153645250035
oct3654700731235440
9581067821620145
10135025305926432
113a028a02102879
1213188985909428
135a45aa73770cc
14254b38c7a538c
1510924b876c422
hex7ace07653b20

135025305926432 has 96 divisors (see below), whose sum is σ = 284118380868672. Its totient is φ = 62943123841024.

The previous prime is 135025305926429. The next prime is 135025305926473. The reversal of 135025305926432 is 234629503520531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935505023 + ... + 935649345.

It is an arithmetic number, because the mean of its divisors is an integer number (2959566467382).

Almost surely, 2135025305926432 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 135025305926432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142059190434336).

135025305926432 is an abundant number, since it is smaller than the sum of its proper divisors (149093074942240).

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

135025305926432 is a wasteful number, since it uses less digits than its factorization.

135025305926432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160530 (or 160522 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 50.

The spelling of 135025305926432 in words is "one hundred thirty-five trillion, twenty-five billion, three hundred five million, nine hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 107 136 214 272 428 544 856 1712 1819 3424 3638 7276 14552 16073 29104 32146 58208 64292 128584 144323 257168 273241 288646 514336 546482 577292 1092964 1154584 1719811 2185928 2309168 2453491 3439622 4371856 4618336 4906982 6879244 8743712 9813964 13758488 15442561 19627928 27516976 29236787 30885122 39255856 55033952 58473574 61770244 78511712 116947148 123540488 233894296 247080976 262523537 467788592 494161952 525047074 935577184 1050094148 2100188296 2319703579 4200376592 4639407158 8400753184 9278814316 18557628632 37115257264 39434960843 74230514528 78869921686 157739843372 248208282953 315479686744 496416565906 630959373488 992833131812 1261918746976 1985666263624 3971332527248 4219540810201 7942665054496 8439081620402 16878163240804 33756326481608 67512652963216 135025305926432