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5508256621716 = 2233593001288053
BaseRepresentation
bin101000000100111110110…
…1011011110010010010100
3201111120202212121200101000
41100021331223132102110
51210221402143343331
615414242543503300
71105646506523112
oct120117553362224
921446685550330
105508256621716
111834047299072
1274b653bb7b30
1330c570975804
1415085b394ab2
15984381410e6
hex5027dade494

5508256621716 has 96 divisors (see below), whose sum is σ = 14527600214400. Its totient is φ = 1804357728000.

The previous prime is 5508256621697. The next prime is 5508256621723. The reversal of 5508256621716 is 6171266528055.

5508256621716 is a `hidden beast` number, since 5 + 5 + 0 + 8 + 2 + 5 + 6 + 621 + 7 + 1 + 6 = 666.

It is a super-2 number, since 2×55082566217162 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 18978346 + ... + 19266398.

It is an arithmetic number, because the mean of its divisors is an integer number (151329168900).

Almost surely, 25508256621716 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 5508256621716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7263800107200).

5508256621716 is an abundant number, since it is smaller than the sum of its proper divisors (9019343592684).

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

5508256621716 is a wasteful number, since it uses less digits than its factorization.

5508256621716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291126 (or 291118 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 5508256621716 in words is "five trillion, five hundred eight billion, two hundred fifty-six million, six hundred twenty-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 708 1062 1593 2124 3001 3186 6002 6372 9003 12004 18006 27009 36012 54018 81027 108036 162054 177059 288053 324108 354118 531177 576106 708236 864159 1062354 1152212 1593531 1728318 2124708 2592477 3187062 3456636 4780593 5184954 6374124 7777431 9561186 10369908 15554862 16995127 19122372 31109724 33990254 50985381 67980508 101970762 152956143 203941524 305912286 458868429 611824572 864447053 917736858 1728894106 1835473716 2593341159 3457788212 5186682318 7780023477 10373364636 15560046954 23340070431 31120093908 46680140862 51002376127 93360281724 102004752254 153007128381 204009504508 306014256762 459021385143 612028513524 918042770286 1377064155429 1836085540572 2754128310858 5508256621716