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4755905557152 = 253711648142337
BaseRepresentation
bin100010100110101001000…
…0011111011001010100000
3121211122211020100122201220
41011031102003323022200
51110410043310312102
614040455521255040
71000413526142151
oct105152203731240
917748736318656
104755905557152
111573a71778862
12649887194480
13286631654bb9
141262893db928
1583aa30d71bc
hex453520fb2a0

4755905557152 has 96 divisors (see below), whose sum is σ = 12661153835904. Its totient is φ = 1562841907200.

The previous prime is 4755905557129. The next prime is 4755905557153. The reversal of 4755905557152 is 2517555095574.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×47559055571524 (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4755905557153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112313328 + ... + 112355664.

It is an arithmetic number, because the mean of its divisors is an integer number (131887019124).

Almost surely, 24755905557152 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 4755905557152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6330576917952).

4755905557152 is an abundant number, since it is smaller than the sum of its proper divisors (7905248278752).

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

4755905557152 is a wasteful number, since it uses less digits than its factorization.

4755905557152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58902 (or 58894 counting only the distinct ones).

The product of its (nonzero) digits is 55125000, while the sum is 60.

The spelling of 4755905557152 in words is "four trillion, seven hundred fifty-five billion, nine hundred five million, five hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 16481 32962 42337 49443 65924 84674 98886 127011 131848 169348 197772 254022 263696 338696 395544 508044 527392 677392 791088 1016088 1170151 1354784 1582176 2032176 2340302 3005927 3510453 4064352 4680604 6011854 7020906 9017781 9361208 12023708 14041812 18035562 18722416 24047416 28083624 36071124 37444832 48094832 56167248 72142248 96189664 112334496 144284496 288568992 697756097 1395512194 2093268291 2791024388 4186536582 5582048776 8373073164 11164097552 16746146328 22328195104 33492292656 49540682887 66984585312 99081365774 148622048661 198162731548 297244097322 396325463096 594488194644 792650926192 1188976389288 1585301852384 2377952778576 4755905557152