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135275920704 = 26321991180171
BaseRepresentation
bin111110111111100010…
…0101011110101000000
3110221011121111210020100
41331333010223311000
54204021113430304
6142051144242400
712526156232241
oct1757704536500
9427147453210
10135275920704
1152408804481
1222273770400
13c9aac500c2
146794072cc8
1537bb11e439
hex1f7f12bd40

135275920704 has 84 divisors (see below), whose sum is σ = 389692794400. Its totient is φ = 44865342720.

The previous prime is 135275920691. The next prime is 135275920727. The reversal of 135275920704 is 407029572531.

It is a happy number.

135275920704 is a `hidden beast` number, since 1 + 3 + 52 + 7 + 592 + 0 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135275920704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 475462 + ... + 704709.

Almost surely, 2135275920704 is an apocalyptic number.

It is an amenable number.

135275920704 is an abundant number, since it is smaller than the sum of its proper divisors (254416873696).

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

135275920704 is a wasteful number, since it uses less digits than its factorization.

135275920704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180388 (or 1180375 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 135275920704 in words is "one hundred thirty-five billion, two hundred seventy-five million, nine hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 199 288 398 576 597 796 1194 1592 1791 2388 3184 3582 4776 6368 7164 9552 12736 14328 19104 28656 38208 57312 114624 1180171 2360342 3540513 4720684 7081026 9441368 10621539 14162052 18882736 21243078 28324104 37765472 42486156 56648208 75530944 84972312 113296416 169944624 226592832 234854029 339889248 469708058 679778496 704562087 939416116 1409124174 1878832232 2113686261 2818248348 3757664464 4227372522 5636496696 7515328928 8454745044 11272993392 15030657856 16909490088 22545986784 33818980176 45091973568 67637960352 135275920704