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5661312048 = 243371998533
BaseRepresentation
bin1010100010111000…
…01100010000110000
3112121112202110011000
411101130030100300
543043243441143
62333433322000
7260202233640
oct52134142060
915545673130
105661312048
112445732597
12111bb66300
136c2b736b2
143b9c48520
15232035bd3
hex15170c430

5661312048 has 160 divisors (see below), whose sum is σ = 19549145600. Its totient is φ = 1532369664.

The previous prime is 5661312047. The next prime is 5661312061. The reversal of 5661312048 is 8402131665.

It is a happy number.

5661312048 is a `hidden beast` number, since 566 + 1 + 31 + 20 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5661312047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8190 + ... + 106722.

It is an arithmetic number, because the mean of its divisors is an integer number (122182160).

Almost surely, 25661312048 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 5661312048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9774572800).

5661312048 is an abundant number, since it is smaller than the sum of its proper divisors (13887833552).

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

5661312048 is a wasteful number, since it uses less digits than its factorization.

5661312048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98576 (or 98564 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5661312048 is about 75241.6908900910. The cubic root of 5661312048 is about 1782.2653529053.

The spelling of 5661312048 in words is "five billion, six hundred sixty-one million, three hundred twelve thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 912 1008 1026 1064 1197 1368 1512 1596 2052 2128 2394 2736 3024 3192 3591 4104 4788 6384 7182 8208 9576 14364 19152 28728 57456 98533 197066 295599 394132 591198 689731 788264 886797 1182396 1379462 1576528 1773594 1872127 2069193 2364792 2660391 2758924 3547188 3744254 4138386 4729584 5320782 5517848 5616381 6207579 7094376 7488508 8276772 10641564 11035696 11232762 12415158 13104889 14188752 14977016 16553544 16849143 18622737 21283128 22465524 24830316 26209778 29954032 33107088 33698286 37245474 39314667 42566256 44931048 49660632 50547429 52419556 67396572 74490948 78629334 89862096 99321264 101094858 104839112 117944001 134793144 148981896 157258668 202189716 209678224 235888002 269586288 297963792 314517336 353832003 404379432 471776004 629034672 707664006 808758864 943552008 1415328012 1887104016 2830656024 5661312048