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55382877004 = 22721373793769
BaseRepresentation
bin110011100101000100…
…111010001101001100
312021221201122122200211
4303211010322031030
51401411004031004
641235331132204
74000303454500
oct634504721514
9167851578624
1055382877004
1121540210234
12a897744064
1352b8026150
1429755ba300
15169222b504
hexce513a34c

55382877004 has 144 divisors (see below), whose sum is σ = 124670582400. Its totient is φ = 21330376704.

The previous prime is 55382876993. The next prime is 55382877019. The reversal of 55382877004 is 40077828355.

It is a Harshad number since it is a multiple of its sum of digits (49).

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 47 ways as a sum of consecutive naturals, for example, 14692432 + ... + 14696200.

Almost surely, 255382877004 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 55382877004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62335291200).

55382877004 is an abundant number, since it is smaller than the sum of its proper divisors (69287705396).

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

55382877004 is a wasteful number, since it uses less digits than its factorization.

55382877004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 49.

The spelling of 55382877004 in words is "fifty-five billion, three hundred eighty-two million, eight hundred seventy-seven thousand, four".

Divisors: 1 2 4 7 13 14 26 28 49 52 73 79 91 98 146 158 182 196 292 316 364 511 553 637 949 1022 1027 1106 1274 1898 2044 2054 2212 2548 3577 3769 3796 3871 4108 5767 6643 7154 7189 7538 7742 11534 13286 14308 14378 15076 15484 23068 26383 26572 28756 40369 46501 48997 50323 52766 74971 80738 93002 97994 100646 105532 149942 161476 184681 186004 195988 201292 275137 282583 297751 299884 342979 369362 524797 550274 565166 595502 685958 738724 1049594 1100548 1130332 1191004 1371916 1925959 2084257 2099188 2400853 3576781 3673579 3851918 3870763 4168514 4801706 7153562 7347158 7703836 7741526 8337028 9603412 13481713 14307124 14589799 14694316 15483052 21735823 25037467 26963426 27095341 29179598 43471646 50074934 53926852 54190682 58359196 86943292 100149868 108381364 152150761 175262269 189667387 282565699 304301522 350524538 379334774 565131398 608603044 701049076 758669548 1065055327 1130262796 1977959893 2130110654 3955919786 4260221308 7911839572 13845719251 27691438502 55382877004