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55922592240 = 2433577333493
BaseRepresentation
bin110100000101001111…
…110000100111110000
312100100100020000211000
4310011033300213300
51404012140422430
641405051122000
74016546122344
oct640517604760
9170310200730
1055922592240
1121797933289
12aa08443300
135372aa5288
1429c714d624
1516c47dbe60
hexd053f09f0

55922592240 has 160 divisors (see below), whose sum is σ = 192877208640. Its totient is φ = 14892954624.

The previous prime is 55922592179. The next prime is 55922592241. The reversal of 55922592240 is 4229522955.

55922592240 is a `hidden beast` number, since 5 + 59 + 2 + 2 + 592 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55922592241) by changing a digit.

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, 1652934 + ... + 1686426.

It is an arithmetic number, because the mean of its divisors is an integer number (1205482554).

Almost surely, 255922592240 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 55922592240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96438604320).

55922592240 is an abundant number, since it is smaller than the sum of its proper divisors (136954616400).

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

55922592240 is a wasteful number, since it uses less digits than its factorization.

55922592240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34288 (or 34276 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 55922592240 in words is "fifty-five billion, nine hundred twenty-two million, five hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 773 1080 1546 2160 2319 3092 3865 4638 6184 6957 7730 9276 11595 12368 13914 15460 18552 20871 23190 27828 30920 33493 34785 37104 41742 46380 55656 61840 66986 69570 83484 92760 100479 104355 111312 133972 139140 166968 167465 185520 200958 208710 267944 278280 301437 333936 334930 401916 417420 502395 535888 556560 602874 669860 803832 834840 904311 1004790 1205748 1339720 1507185 1607664 1669680 1808622 2009580 2411496 2679440 3014370 3617244 4019160 4521555 4822992 6028740 7234488 8038320 9043110 12057480 14468976 18086220 24114960 25890089 36172440 51780178 72344880 77670267 103560356 129450445 155340534 207120712 233010801 258900890 310681068 388351335 414241424 466021602 517801780 621362136 699032403 776702670 932043204 1035603560 1165054005 1242724272 1398064806 1553405340 1864086408 2071207120 2330108010 2796129612 3106810680 3495162015 3728172816 4660216020 5592259224 6213621360 6990324030 9320432040 11184518448 13980648060 18640864080 27961296120 55922592240