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54253054368 = 2533312025577
BaseRepresentation
bin110010100001101110…
…111110100110100000
312012000222200201102000
4302201232332212200
51342102240214433
640531251124000
73630304232112
oct624156764640
9165028621360
1054253054368
1121010486817
12a6212a3600
135167c33146
1428a95173b2
151627e54113
hexca1bbe9a0

54253054368 has 96 divisors (see below), whose sum is σ = 163342609920. Its totient is φ = 17500976640.

The previous prime is 54253054367. The next prime is 54253054369. The reversal of 54253054368 is 86345035245.

54253054368 is a `hidden beast` number, since 5 + 4 + 2 + 530 + 54 + 3 + 68 = 666.

54253054368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54253054367) and next prime (54253054369).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (54253054367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 986005 + ... + 1039572.

It is an arithmetic number, because the mean of its divisors is an integer number (1701485520).

Almost surely, 254253054368 is an apocalyptic number.

It is an amenable number.

54253054368 is an abundant number, since it is smaller than the sum of its proper divisors (109089555552).

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

54253054368 is a wasteful number, since it uses less digits than its factorization.

54253054368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025627 (or 2025613 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 54253054368 in words is "fifty-four billion, two hundred fifty-three million, fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 6696 8928 13392 26784 2025577 4051154 6076731 8102308 12153462 16204616 18230193 24306924 32409232 36460386 48613848 54690579 62792887 64818464 72920772 97227696 109381158 125585774 145841544 188378661 194455392 218762316 251171548 291683088 376757322 437524632 502343096 565135983 583366176 753514644 875049264 1004686192 1130271966 1507029288 1695407949 1750098528 2009372384 2260543932 3014058576 3390815898 4521087864 6028117152 6781631796 9042175728 13563263592 18084351456 27126527184 54253054368