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53649125874 = 23353671272203
BaseRepresentation
bin110001111101101111…
…001011000111110010
312010110220021222021000
4301331233023013302
51334333134011444
640351314542430
73606322021461
oct617557130762
9163426258230
1053649125874
1120830595363
12a492b97a16
13509ca903c6
14284d22a9d8
1515dee0c469
hexc7dbcb1f2

53649125874 has 128 divisors (see below), whose sum is σ = 124309831680. Its totient is φ = 17139874752.

The previous prime is 53649125867. The next prime is 53649125879. The reversal of 53649125874 is 47852194635.

It is a happy number.

53649125874 is a `hidden beast` number, since 5 + 3 + 6 + 49 + 12 + 587 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 53649125874.

It is not an unprimeable number, because it can be changed into a prime (53649125879) 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, 24351657 + ... + 24353859.

It is an arithmetic number, because the mean of its divisors is an integer number (971170560).

Almost surely, 253649125874 is an apocalyptic number.

53649125874 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53649125874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62154915840).

53649125874 is an abundant number, since it is smaller than the sum of its proper divisors (70660705806).

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

53649125874 is a wasteful number, since it uses less digits than its factorization.

53649125874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2455 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 53649125874 in words is "fifty-three billion, six hundred forty-nine million, one hundred twenty-five thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 53 54 67 106 127 134 159 201 254 318 381 402 477 603 762 954 1143 1206 1431 1809 2203 2286 2862 3429 3551 3618 4406 6609 6731 6858 7102 8509 10653 13218 13462 17018 19827 20193 21306 25527 31959 39654 40386 51054 59481 60579 63918 76581 95877 116759 118962 121158 147601 153162 181737 191754 229743 233518 279781 295202 350277 363474 442803 450977 459486 559562 700554 839343 885606 901954 1050831 1328409 1352931 1678686 2101662 2518029 2656818 2705862 3152493 3985227 4058793 5036058 6304986 7554087 7822853 7970454 8117586 12176379 14828393 15108174 15645706 18745327 23468559 24352758 29656786 37490654 44485179 46937118 56235981 70405677 88970358 112471962 133455537 140811354 168707943 211217031 266911074 337415886 400366611 422434062 506123829 800733222 993502331 1012247658 1987004662 2980506993 5961013986 8941520979 17883041958 26824562937 53649125874