Search a number
-
+
57425071000 = 2353116737757
BaseRepresentation
bin110101011110110011…
…010000101110011000
312111020001101212012111
4311132303100232120
51420101304233000
642214122322104
74102022023033
oct653663205630
9174201355174
1057425071000
1122398a56870
12b167659334
13555215486b
142aca8da01a
151761675cba
hexd5ecd0b98

57425071000 has 128 divisors (see below), whose sum is σ = 146827287360. Its totient is φ = 20848128000.

The previous prime is 57425070947. The next prime is 57425071009. The reversal of 57425071000 is 17052475.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57425071009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7399122 + ... + 7406878.

Almost surely, 257425071000 is an apocalyptic number.

57425071000 is a gapful number since it is divisible by the number (50) 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 57425071000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73413643680).

57425071000 is an abundant number, since it is smaller than the sum of its proper divisors (89402216360).

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

57425071000 is a wasteful number, since it uses less digits than its factorization.

57425071000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8462 (or 8448 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 31.

The spelling of 57425071000 in words is "fifty-seven billion, four hundred twenty-five million, seventy-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 673 1000 1100 1346 1375 2200 2692 2750 3365 5384 5500 6730 7403 7757 11000 13460 14806 15514 16825 26920 29612 31028 33650 37015 38785 59224 62056 67300 74030 77570 84125 85327 134600 148060 155140 168250 170654 185075 193925 296120 310280 336500 341308 370150 387850 426635 673000 682616 740300 775700 853270 925375 969625 1480600 1551400 1706540 1850750 1939250 2133175 3413080 3701500 3878500 4266350 5220461 7403000 7757000 8532700 10440922 10665875 17065400 20881844 21331750 26102305 41763688 42663500 52204610 57425071 85327000 104409220 114850142 130511525 208818440 229700284 261023050 287125355 459400568 522046100 574250710 652557625 1044092200 1148501420 1305115250 1435626775 2297002840 2610230500 2871253550 5220461000 5742507100 7178133875 11485014200 14356267750 28712535500 57425071000