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55205223832 = 231129313072273
BaseRepresentation
bin110011011010011111…
…001101110110011000
312021111100100221100201
4303122133031312120
51401030014130312
641205543311544
73663015442303
oct633237156630
9167440327321
1055205223832
1121459a00830
12a84814b5b4
13528a294525
142959b73b3a
151681838557
hexcda7cdd98

55205223832 has 128 divisors (see below), whose sum is σ = 121027737600. Its totient is φ = 23359795200.

The previous prime is 55205223791. The next prime is 55205223907. The reversal of 55205223832 is 23832250255.

It is a super-3 number, since 3×552052238323 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55205223791 and 55205223800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24286248 + ... + 24288520.

It is an arithmetic number, because the mean of its divisors is an integer number (945529200).

Almost surely, 255205223832 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 55205223832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60513868800).

55205223832 is an abundant number, since it is smaller than the sum of its proper divisors (65822513768).

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

55205223832 is a wasteful number, since it uses less digits than its factorization.

55205223832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 55205223832 in words is "fifty-five billion, two hundred five million, two hundred twenty-three thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 22 29 31 44 58 62 88 116 124 232 248 307 319 341 614 638 682 899 1228 1276 1364 1798 2273 2456 2552 2728 3377 3596 4546 6754 7192 8903 9092 9517 9889 13508 17806 18184 19034 19778 25003 27016 35612 38068 39556 50006 65917 70463 71224 76136 79112 97933 100012 104687 131834 140926 195866 200024 209374 263668 275993 281852 391732 418748 527336 551986 563704 697811 725087 775093 783464 837496 1103972 1395622 1450174 1550186 2043427 2207944 2791244 2900348 3035923 3100372 4086854 5582488 5800696 6071846 6200744 7675921 8173708 12143692 15351842 16347416 20236519 21632141 22477697 24287384 30703684 40473038 43264282 44955394 61407368 80946076 86528564 89910788 161892152 173057128 179821576 222601709 237953551 445203418 475907102 627332089 890406836 951814204 1254664178 1780813672 1903628408 2509328356 5018656712 6900652979 13801305958 27602611916 55205223832