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55509554640 = 24351788115443
BaseRepresentation
bin110011101100101000…
…001001010111010000
312022021120000112202010
4303230220021113100
51402140421222030
641300054222520
74003402300161
oct635450112720
9168246015663
1055509554640
11215a5772aa1
12a912054a40
13530834a627
142988353768
15169d4006b0
hexceca095d0

55509554640 has 160 divisors (see below), whose sum is σ = 182420574336. Its totient is φ = 13915095040.

The previous prime is 55509554627. The next prime is 55509554687. The reversal of 55509554640 is 4645590555.

It is a super-2 number, since 2×555095546402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 55509554640.

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, 3586759 + ... + 3602201.

Almost surely, 255509554640 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 55509554640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91210287168).

55509554640 is an abundant number, since it is smaller than the sum of its proper divisors (126911019696).

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

55509554640 is a wasteful number, since it uses less digits than its factorization.

55509554640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16357 (or 16351 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 48.

The spelling of 55509554640 in words is "fifty-five billion, five hundred nine million, five hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 881 1020 1360 1762 2040 2643 3524 4080 4405 5286 7048 8810 10572 13215 14096 14977 15443 17620 21144 26430 29954 30886 35240 42288 44931 46329 52860 59908 61772 70480 74885 77215 89862 92658 105720 119816 123544 149770 154430 179724 185316 211440 224655 231645 239632 247088 262531 299540 308860 359448 370632 449310 463290 525062 599080 617720 718896 741264 787593 898620 926580 1050124 1198160 1235440 1312655 1575186 1797240 1853160 2100248 2625310 3150372 3594480 3706320 3937965 4200496 5250620 6300744 7875930 10501240 12601488 13605283 15751860 21002480 27210566 31503720 40815849 54421132 63007440 68026415 81631698 108842264 136052830 163263396 204079245 217684528 231289811 272105660 326526792 408158490 462579622 544211320 653053584 693869433 816316980 925159244 1088422640 1156449055 1387738866 1632633960 1850318488 2312898110 2775477732 3265267920 3469347165 3700636976 4625796220 5550955464 6938694330 9251592440 11101910928 13877388660 18503184880 27754777320 55509554640