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55985346620 = 22575933120477
BaseRepresentation
bin110100001000111111…
…001001100000111100
312100111201022021122022
4310020333021200330
51404124222042440
641415212135312
74021240410620
oct641077114074
9170451267568
1055985346620
112181a2a5605
12aa25467538
135382aa7b48
1429d1607180
1516ca085cb5
hexd08fc983c

55985346620 has 96 divisors (see below), whose sum is σ = 137061711360. Its totient is φ = 18811710720.

The previous prime is 55985346607. The next prime is 55985346631. The reversal of 55985346620 is 2664358955.

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, 2723822 + ... + 2744298.

It is an arithmetic number, because the mean of its divisors is an integer number (1427726160).

Almost surely, 255985346620 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 55985346620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68530855680).

55985346620 is an abundant number, since it is smaller than the sum of its proper divisors (81076364740).

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

55985346620 is a wasteful number, since it uses less digits than its factorization.

55985346620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20883 (or 20881 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 53.

The spelling of 55985346620 in words is "fifty-five billion, nine hundred eighty-five million, three hundred forty-six thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 331 413 590 662 826 1180 1324 1652 1655 2065 2317 3310 4130 4634 6620 8260 9268 11585 19529 20477 23170 39058 40954 46340 78116 81908 97645 102385 136703 143339 195290 204770 273406 286678 390580 409540 546812 573356 683515 716695 1208143 1367030 1433390 2416286 2734060 2866780 4832572 6040715 6777887 8457001 12081430 13555774 16914002 24162860 27111548 33828004 33889435 42285005 47445209 67778870 84570010 94890418 135557740 169140020 189780836 237226045 399895333 474452090 799790666 948904180 1599581332 1999476665 2799267331 3998953330 5598534662 7997906660 11197069324 13996336655 27992673310 55985346620