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55990457992 = 23722912893821
BaseRepresentation
bin110100001001010010…
…101001011010001000
312100112001220222010101
4310021102221122020
51404132024123432
641415513455144
74021332016600
oct641122513210
9170461828111
1055990457992
1121822176887
12aa271114b4
135383b77521
1429d2177c00
1516ca7454e7
hexd094a9688

55990457992 has 96 divisors (see below), whose sum is σ = 126464247000. Its totient is φ = 23144432640.

The previous prime is 55990457989. The next prime is 55990457993. The reversal of 55990457992 is 29975409955.

It can be written as a sum of positive squares in 4 ways, for example, as 55972935396 + 17522596 = 236586^2 + 4186^2 .

It is not an unprimeable number, because it can be changed into a prime (55990457993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14651442 + ... + 14655262.

Almost surely, 255990457992 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 55990457992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63232123500).

55990457992 is an abundant number, since it is smaller than the sum of its proper divisors (70473789008).

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

55990457992 is a wasteful number, since it uses less digits than its factorization.

55990457992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5159 (or 5148 counting only the distinct ones).

The product of its (nonzero) digits is 45927000, while the sum is 64.

The spelling of 55990457992 in words is "fifty-five billion, nine hundred ninety million, four hundred fifty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 812 1289 1421 1624 2578 2842 3821 5156 5684 7642 9023 10312 11368 15284 18046 26747 30568 36092 37381 53494 63161 72184 74762 106988 110809 126322 149524 187229 213976 221618 252644 261667 299048 374458 443236 505288 523334 748916 775663 886472 1046668 1497832 1551326 1831669 2093336 3102652 3663338 4925269 5429641 6205304 7326676 9850538 10859282 14653352 19701076 21718564 34476883 39402152 43437128 68953766 137907532 142832801 241338181 275815064 285665602 482676362 571331204 965352724 999829607 1142662408 1930705448 1999659214 3999318428 6998807249 7998636856 13997614498 27995228996 55990457992