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53541137440 = 255747804587
BaseRepresentation
bin110001110111010011…
…001110110000100000
312010012101002120222101
4301313103032300200
51334123012344230
640332500220144
73603541105420
oct616723166040
9163171076871
1053541137440
112078563801a
12a46299a654
1350835b081b
14283cb5a480
1515d56caaca
hexc774cec20

53541137440 has 48 divisors (see below), whose sum is σ = 144561074112. Its totient is φ = 18356961024.

The previous prime is 53541137437. The next prime is 53541137449. The reversal of 53541137440 is 4473114535.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 53541137440.

It is not an unprimeable number, because it can be changed into a prime (53541137449) 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 7 ways as a sum of consecutive naturals, for example, 23901174 + ... + 23903413.

It is an arithmetic number, because the mean of its divisors is an integer number (3011689044).

Almost surely, 253541137440 is an apocalyptic number.

It is an amenable number.

53541137440 is an abundant number, since it is smaller than the sum of its proper divisors (91019936672).

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

53541137440 is a wasteful number, since it uses less digits than its factorization.

53541137440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47804609 (or 47804601 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 53541137440 in words is "fifty-three billion, five hundred forty-one million, one hundred thirty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 47804587 95609174 191218348 239022935 334632109 382436696 478045870 669264218 764873392 956091740 1338528436 1529746784 1673160545 1912183480 2677056872 3346321090 3824366960 5354113744 6692642180 7648733920 10708227488 13385284360 26770568720 53541137440