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856136255700 = 2235211661392489
BaseRepresentation
bin11000111010101011011…
…00101000100011010100
310000211211121101222222010
430131111230220203110
5103011331340140300
61453145323104220
7115565566050045
oct14352554504324
93024747358863
10856136255700
113000a3662550
12119b12372070
136296c0b111b
142d619a128cc
151740b736a50
hexc755b288d4

856136255700 has 144 divisors (see below), whose sum is σ = 2706372406080. Its totient is φ = 207233664000.

The previous prime is 856136255671. The next prime is 856136255707. The reversal of 856136255700 is 7552631658.

It is a self number, because there is not a number n which added to its sum of digits gives 856136255700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856136255707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1985056 + ... + 2377544.

It is an arithmetic number, because the mean of its divisors is an integer number (18794252820).

Almost surely, 2856136255700 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 856136255700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353186203040).

856136255700 is an abundant number, since it is smaller than the sum of its proper divisors (1850236150380).

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

856136255700 is a wasteful number, since it uses less digits than its factorization.

856136255700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393178 (or 393171 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 856136255700 in words is "eight hundred fifty-six billion, one hundred thirty-six million, two hundred fifty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 661 825 1100 1322 1650 1983 2644 3300 3305 3966 6610 7271 7932 9915 13220 14542 16525 19830 21813 29084 33050 36355 39660 43626 49575 66100 72710 87252 99150 109065 145420 181775 198300 218130 363550 392489 436260 545325 727100 784978 1090650 1177467 1569956 1962445 2181300 2354934 3924890 4317379 4709868 5887335 7849780 8634758 9812225 11774670 12952137 17269516 19624450 21586895 23549340 25904274 29436675 39248900 43173790 51808548 58873350 64760685 86347580 107934475 117746700 129521370 215868950 259042740 259435229 323803425 431737900 518870458 647606850 778305687 1037740916 1295213700 1297176145 1556611374 2594352290 2853787519 3113222748 3891528435 5188704580 5707575038 6485880725 7783056870 8561362557 11415150076 12971761450 14268937595 15566113740 17122725114 19457642175 25943522900 28537875190 34245450228 38915284350 42806812785 57075750380 71344687975 77830568700 85613625570 142689375950 171227251140 214034063925 285378751900 428068127850 856136255700