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57014434350 = 232522310154541
BaseRepresentation
bin110101000110010100…
…110011101000101110
312110011102201100121200
4311012110303220232
51413231143344400
642105253110330
74055604460446
oct650624635056
9173142640550
1057014434350
11221a8186435
12b0720283a6
1354b805a9b3
142a8c167126
15173a5b0b00
hexd46533a2e

57014434350 has 144 divisors (see below), whose sum is σ = 161424248544. Its totient is φ = 14398560000.

The previous prime is 57014434303. The next prime is 57014434363. The reversal of 57014434350 is 5343441075.

57014434350 is a `hidden beast` number, since 570 + 1 + 4 + 4 + 34 + 3 + 50 = 666.

57014434350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1018080 + ... + 1072620.

It is an arithmetic number, because the mean of its divisors is an integer number (1121001726).

Almost surely, 257014434350 is an apocalyptic number.

57014434350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57014434350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80712124272).

57014434350 is an abundant number, since it is smaller than the sum of its proper divisors (104409814194).

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

57014434350 is a wasteful number, since it uses less digits than its factorization.

57014434350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54683 (or 54675 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 57014434350 in words is "fifty-seven billion, fourteen million, four hundred thirty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 101 115 138 150 202 207 225 230 303 345 414 450 505 575 606 690 909 1010 1035 1150 1515 1725 1818 2070 2323 2525 3030 3450 4545 4646 5050 5175 6969 7575 9090 10350 11615 13938 15150 20907 22725 23230 34845 41814 45450 54541 58075 69690 104535 109082 116150 163623 174225 209070 272705 327246 348450 490869 522675 545410 818115 981738 1045350 1254443 1363525 1636230 2454345 2508886 2727050 3763329 4090575 4908690 5508641 6272215 7526658 8181150 11017282 11289987 12271725 12544430 16525923 18816645 22579974 24543450 27543205 31361075 33051846 37633290 49577769 55086410 56449935 62722150 82629615 94083225 99155538 112899870 126698743 137716025 165259230 188166450 247888845 253397486 275432050 282249675 380096229 413148075 495777690 564499350 633493715 760192458 826296150 1140288687 1239444225 1266987430 1900481145 2280577374 2478888450 3167468575 3800962290 5701443435 6334937150 9502405725 11402886870 19004811450 28507217175 57014434350