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49548706128 = 2433397288907
BaseRepresentation
bin101110001001010101…
…010100000101010000
311201220010122001211000
4232021111110011100
51302433432044003
634432400422000
73402602024115
oct561125240520
9151803561730
1049548706128
111a016a53309
129729917900
13489840c12c
14258081690c
15144ee4d1a3
hexb89554150

49548706128 has 80 divisors (see below), whose sum is σ = 142581876160. Its totient is φ = 16474575744.

The previous prime is 49548706121. The next prime is 49548706139. The reversal of 49548706128 is 82160784594.

It is a happy number.

49548706128 is a `hidden beast` number, since 4 + 9 + 548 + 70 + 6 + 1 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49548706121) 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, 27051 + ... + 315957.

It is an arithmetic number, because the mean of its divisors is an integer number (1782273452).

Almost surely, 249548706128 is an apocalyptic number.

49548706128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49548706128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71290938080).

49548706128 is an abundant number, since it is smaller than the sum of its proper divisors (93033170032).

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

49548706128 is a wasteful number, since it uses less digits than its factorization.

49548706128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289321 (or 289309 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 49548706128 in words is "forty-nine billion, five hundred forty-eight million, seven hundred six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 397 432 794 1191 1588 2382 3176 3573 4764 6352 7146 9528 10719 14292 19056 21438 28584 42876 57168 85752 171504 288907 577814 866721 1155628 1733442 2311256 2600163 3466884 4622512 5200326 6933768 7800489 10400652 13867536 15600978 20801304 31201956 41602608 62403912 114696079 124807824 229392158 344088237 458784316 688176474 917568632 1032264711 1376352948 1835137264 2064529422 2752705896 3096794133 4129058844 5505411792 6193588266 8258117688 12387176532 16516235376 24774353064 49548706128