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5617507740 = 22351320633491
BaseRepresentation
bin1010011101101010…
…00101110110011100
3112111111022221221020
411032311011312130
543001040221430
62325230404140
7256131012405
oct51665056634
915444287836
105617507740
112422a33789
121109360650
136b6a773a0
143b40c49ac
1522d281b10
hex14ed45d9c

5617507740 has 96 divisors (see below), whose sum is σ = 16952011776. Its totient is φ = 1381704960.

The previous prime is 5617507729. The next prime is 5617507793. The reversal of 5617507740 is 477057165.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5617507692 and 5617507701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1607395 + ... + 1610885.

It is an arithmetic number, because the mean of its divisors is an integer number (176583456).

Almost surely, 25617507740 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 5617507740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476005888).

5617507740 is an abundant number, since it is smaller than the sum of its proper divisors (11334504036).

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

5617507740 is a wasteful number, since it uses less digits than its factorization.

5617507740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5579 (or 5577 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 42.

The square root of 5617507740 is about 74950.0349566296. The cubic root of 5617507740 is about 1777.6566963919.

The spelling of 5617507740 in words is "five billion, six hundred seventeen million, five hundred seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2063 3491 4126 6189 6982 8252 10315 10473 12378 13964 17455 20630 20946 24756 26819 30945 34910 41260 41892 45383 52365 53638 61890 69820 80457 90766 104730 107276 123780 134095 136149 160914 181532 209460 226915 268190 272298 321828 402285 453830 536380 544596 680745 804570 907660 1361490 1609140 2722980 7201933 14403866 21605799 28807732 36009665 43211598 72019330 86423196 93625129 108028995 144038660 187250258 216057990 280875387 374500516 432115980 468125645 561750774 936251290 1123501548 1404376935 1872502580 2808753870 5617507740