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57345777804 = 22372473316269
BaseRepresentation
bin110101011010000100…
…110010000010001100
312111000112012100101110
4311122010302002030
51414421004342204
642202211012020
74100040032400
oct653204620214
9174015170343
1057345777804
11223582186a7
12b144b9a010
13553b8b1103
142ac0179100
151759711889
hexd5a13208c

57345777804 has 144 divisors (see below), whose sum is σ = 159470277120. Its totient is φ = 15984904320.

The previous prime is 57345777803. The next prime is 57345777889. The reversal of 57345777804 is 40877754375.

It is not an unprimeable number, because it can be changed into a prime (57345777803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9144382 + ... + 9150650.

It is an arithmetic number, because the mean of its divisors is an integer number (1107432480).

Almost surely, 257345777804 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 57345777804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79735138560).

57345777804 is an abundant number, since it is smaller than the sum of its proper divisors (102124499316).

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

57345777804 is a wasteful number, since it uses less digits than its factorization.

57345777804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6668 (or 6659 counting only the distinct ones).

The product of its (nonzero) digits is 23049600, while the sum is 57.

The spelling of 57345777804 in words is "fifty-seven billion, three hundred forty-five million, seven hundred seventy-seven thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 84 94 98 141 147 188 196 282 294 329 331 564 588 658 662 987 993 1316 1324 1974 1986 2303 2317 3948 3972 4606 4634 6269 6909 6951 9212 9268 12538 13818 13902 15557 16219 18807 25076 27636 27804 31114 32438 37614 43883 46671 48657 62228 64876 75228 87766 93342 97314 108899 131649 175532 186684 194628 217798 263298 294643 307181 326697 435596 526596 589286 614362 653394 762293 883929 921543 1178572 1228724 1306788 1524586 1767858 1843086 2062501 2075039 2286879 3049172 3535716 3686172 4125002 4150078 4573758 6187503 6225117 8250004 8300156 9147516 12375006 12450234 14437507 14525273 24750012 24900468 28875014 29050546 43312521 43575819 57750028 58101092 86625042 87151638 97526833 101676911 173250084 174303276 195053666 203353822 292580499 305030733 390107332 406707644 585160998 610061466 682687831 1170321996 1220122932 1365375662 2048063493 2730751324 4096126986 4778814817 8192253972 9557629634 14336444451 19115259268 28672888902 57345777804