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52565153440 = 2554747914593
BaseRepresentation
bin110000111101001000…
…001001011010100000
312000200100121110121211
4300331020021122200
51330123134402230
640051553355504
73540420301132
oct607510113240
9160610543554
1052565153440
1120324727878
12a22bb68b94
134c593319b7
1427892a1052
151579b9042a
hexc3d2096a0

52565153440 has 96 divisors (see below), whose sum is σ = 127100897280. Its totient is φ = 20534329344.

The previous prime is 52565153401. The next prime is 52565153477. The reversal of 52565153440 is 4435156525.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 52565153393 and 52565153402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3594784 + ... + 3609376.

It is an arithmetic number, because the mean of its divisors is an integer number (1323967680).

Almost surely, 252565153440 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 52565153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63550448640).

52565153440 is an abundant number, since it is smaller than the sum of its proper divisors (74535743840).

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

52565153440 is a wasteful number, since it uses less digits than its factorization.

52565153440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15134 (or 15126 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 52565153440 in words is "fifty-two billion, five hundred sixty-five million, one hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 479 752 940 958 1504 1880 1916 2395 3760 3832 4790 7520 7664 9580 14593 15328 19160 22513 29186 38320 45026 58372 72965 76640 90052 112565 116744 145930 180104 225130 233488 291860 360208 450260 466976 583720 685871 720416 900520 1167440 1371742 1801040 2334880 2743484 3429355 3602080 5486968 6858710 6990047 10973936 13717420 13980094 21947872 27434840 27960188 34950235 54869680 55920376 69900470 109739360 111840752 139800940 223681504 279601880 328532209 559203760 657064418 1118407520 1314128836 1642661045 2628257672 3285322090 5256515344 6570644180 10513030688 13141288360 26282576720 52565153440