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57953795949 = 337445168891
BaseRepresentation
bin110101111110010100…
…001011111101101101
312112120220021212111000
4311332110023331231
51422142132432244
642342410550513
74121102065140
oct657624137555
9175526255430
1057953795949
112263a452735
12b294738439
13560785646a
142b3ac0c057
151792cb5169
hexd7e50bf6d

57953795949 has 32 divisors (see below), whose sum is σ = 98146298880. Its totient is φ = 33108534000.

The previous prime is 57953795941. The next prime is 57953796001. The reversal of 57953795949 is 94959735975.

57953795949 is a `hidden beast` number, since 579 + 5 + 3 + 7 + 9 + 5 + 9 + 49 = 666.

It is not a de Polignac number, because 57953795949 - 23 = 57953795941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57953795941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806794 + ... + 875684.

It is an arithmetic number, because the mean of its divisors is an integer number (3067071840).

Almost surely, 257953795949 is an apocalyptic number.

It is an amenable number.

57953795949 is a deficient number, since it is larger than the sum of its proper divisors (40192502931).

57953795949 is a wasteful number, since it uses less digits than its factorization.

57953795949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73358 (or 73352 counting only the distinct ones).

The product of its digits is 482233500, while the sum is 72.

The spelling of 57953795949 in words is "fifty-seven billion, nine hundred fifty-three million, seven hundred ninety-five thousand, nine hundred forty-nine".

Divisors: 1 3 7 9 21 27 63 189 4451 13353 31157 40059 68891 93471 120177 206673 280413 482237 620019 841239 1446711 1860057 4340133 13020399 306633841 919901523 2146436887 2759704569 6439310661 8279113707 19317931983 57953795949