Search a number
-
+
61878308864 = 212591072393
BaseRepresentation
bin111001101000001111…
…000001000000000000
312220201101221210010012
4321220033001000000
52003211321340424
644232042524052
74320254642561
oct715017010000
9186641853105
1061878308864
1124273768339
12bbaab06628
135ab1937958
142dd0112168
1519225c8b0e
hexe683c1000

61878308864 has 104 divisors (see below), whose sum is σ = 127067965920. Its totient is φ = 30117920768.

The previous prime is 61878308837. The next prime is 61878308903. The reversal of 61878308864 is 46880387816.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25856852 + ... + 25859244.

Almost surely, 261878308864 is an apocalyptic number.

61878308864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61878308864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63533982960).

61878308864 is an abundant number, since it is smaller than the sum of its proper divisors (65189657056).

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

61878308864 is a wasteful number, since it uses less digits than its factorization.

61878308864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 59.

The spelling of 61878308864 in words is "sixty-one billion, eight hundred seventy-eight million, three hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 59 64 107 118 128 214 236 256 428 472 512 856 944 1024 1712 1888 2048 2393 3424 3776 4096 4786 6313 6848 7552 9572 12626 13696 15104 19144 25252 27392 30208 38288 50504 54784 60416 76576 101008 109568 120832 141187 153152 202016 219136 241664 256051 282374 306304 404032 438272 512102 564748 612608 808064 1024204 1129496 1225216 1616128 2048408 2258992 2450432 3232256 4096816 4517984 4900864 6464512 8193632 9035968 9801728 12929024 15107009 16387264 18071936 25858048 30214018 32774528 36143872 60428036 65549056 72287744 120856072 131098112 144575488 241712144 262196224 289150976 483424288 524392448 578301952 966848576 1048784896 1933697152 3867394304 7734788608 15469577216 30939154432 61878308864