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434236627555057 = 19237379197874639
BaseRepresentation
bin110001010111011111001011…
…1111011110001001011110001
32002221111121122012010211210201
41202232332113323301023301
5423404013103123230212
64135313315221555201
7160315363302351535
oct14256762773611361
92087447565124721
10434236627555057
111163a77a0802778
1240851b73b75b01
131583b45225b4a2
147933244749bc5
153530757c0ab57
hex18aef97ef12f1

434236627555057 has 64 divisors (see below), whose sum is σ = 492104650752000. Its totient is φ = 381247231292928.

The previous prime is 434236627555021. The next prime is 434236627555121. The reversal of 434236627555057 is 750555726632434.

It is a cyclic number.

It is not a de Polignac number, because 434236627555057 - 227 = 434236493337329 is a prime.

It is a super-2 number, since 2×4342366275550572 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 434236627555057.

It is not an unprimeable number, because it can be changed into a prime (434236627555957) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 496037944 + ... + 496912582.

It is an arithmetic number, because the mean of its divisors is an integer number (7689135168000).

Almost surely, 2434236627555057 is an apocalyptic number.

It is an amenable number.

434236627555057 is a deficient number, since it is larger than the sum of its proper divisors (57868023196943).

434236627555057 is a wasteful number, since it uses less digits than its factorization.

434236627555057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875030.

The product of its (nonzero) digits is 635040000, while the sum is 64.

The spelling of 434236627555057 in words is "four hundred thirty-four trillion, two hundred thirty-six billion, six hundred twenty-seven million, five hundred fifty-five thousand, fifty-seven".

Divisors: 1 19 23 73 79 197 437 1387 1501 1679 1817 3743 4531 5767 14381 15563 31901 34523 86089 109573 132641 273239 295697 330763 357949 874639 1136099 2520179 6284497 6801031 16618141 20116697 21585881 26130277 63848647 69096481 172303883 382217243 496475263 1213124293 1312833139 1468518881 1589219063 3273773777 3962989309 5044043113 12578183459 13612006757 27901858739 30195162197 75296796871 95836819147 116012991599 238985485721 258628128383 289298219557 313076155411 993676493261 2204246840381 5496666171583 5948446952809 18879853371959 22854559345003 434236627555057