Search a number
-
+
55992400880 = 245131731102161
BaseRepresentation
bin110100001001011010…
…000011101111110000
312100112012120200021012
4310021122003233300
51404133023312010
641420023250052
74021354361153
oct641132035760
9170465520235
1055992400880
1121823283579
12aa278a9928
1353843a7970
1429d2521c9a
1516ca9cb005
hexd09683bf0

55992400880 has 160 divisors (see below), whose sum is σ = 153233192448. Its totient is φ = 18830131200.

The previous prime is 55992400879. The next prime is 55992400901. The reversal of 55992400880 is 8800429955.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497000 + ... + 599160.

Almost surely, 255992400880 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 55992400880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76616596224).

55992400880 is an abundant number, since it is smaller than the sum of its proper divisors (97240791568).

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

55992400880 is a wasteful number, since it uses less digits than its factorization.

55992400880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102235 (or 102229 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 50.

The spelling of 55992400880 in words is "fifty-five billion, nine hundred ninety-two million, four hundred thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 31 34 40 52 62 65 68 80 85 104 124 130 136 155 170 208 221 248 260 272 310 340 403 442 496 520 527 620 680 806 884 1040 1054 1105 1240 1360 1612 1768 2015 2108 2210 2480 2635 3224 3536 4030 4216 4420 5270 6448 6851 8060 8432 8840 10540 13702 16120 17680 21080 27404 32240 34255 42160 54808 68510 102161 109616 137020 204322 274040 408644 510805 548080 817288 1021610 1328093 1634576 1736737 2043220 2656186 3166991 3473474 4086440 5312372 6333982 6640465 6946948 8172880 8683685 10624744 12667964 13280930 13893896 15834955 17367370 21249488 22577581 25335928 26561860 27787792 31669910 34734740 41170883 45155162 50671856 53123720 53838847 63339820 69469480 82341766 90310324 106247440 107677694 112887905 126679640 138938960 164683532 180620648 205854415 215355388 225775810 253359280 269194235 329367064 361241296 411708830 430710776 451551620 538388470 658734128 699905011 823417660 861421552 903103240 1076776940 1399810022 1646835320 1806206480 2153553880 2799620044 3293670640 3499525055 4307107760 5599240088 6999050110 11198480176 13998100220 27996200440 55992400880