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57552402000 = 2435361157247
BaseRepresentation
bin110101100110011000…
…111111011001010000
312111112220222221111110
4311212120333121100
51420331403331000
642234511413320
74105126226322
oct654630773120
9174486887443
1057552402000
11224539154a5
12b1a2224240
135572647552
142add7a3612
15176c928850
hexd6663f650

57552402000 has 160 divisors (see below), whose sum is σ = 188591929344. Its totient is φ = 15095616000.

The previous prime is 57552401993. The next prime is 57552402041. The reversal of 57552402000 is 20425575.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 287377 + ... + 444623.

Almost surely, 257552402000 is an apocalyptic number.

57552402000 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 57552402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94295964672).

57552402000 is an abundant number, since it is smaller than the sum of its proper divisors (131039527344).

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

57552402000 is a wasteful number, since it uses less digits than its factorization.

57552402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157334 (or 157318 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 30.

Adding to 57552402000 its reverse (20425575), we get a palindrome (57572827575).

The spelling of 57552402000 in words is "fifty-seven billion, five hundred fifty-two million, four hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 61 75 80 100 120 122 125 150 183 200 240 244 250 300 305 366 375 400 488 500 600 610 732 750 915 976 1000 1200 1220 1464 1500 1525 1830 2000 2440 2928 3000 3050 3660 4575 4880 6000 6100 7320 7625 9150 12200 14640 15250 18300 22875 24400 30500 36600 45750 61000 73200 91500 122000 157247 183000 314494 366000 471741 628988 786235 943482 1257976 1572470 1886964 2358705 2515952 3144940 3773928 3931175 4717410 6289880 7547856 7862350 9434820 9592067 11793525 12579760 15724700 18869640 19184134 19655875 23587050 28776201 31449400 37739280 38368268 39311750 47174100 47960335 57552402 58967625 62898800 76736536 78623500 94348200 95920670 115104804 117935250 143881005 153473072 157247000 188696400 191841340 230209608 235870500 239801675 287762010 314494000 383682680 460419216 471741000 479603350 575524020 719405025 767365360 943482000 959206700 1151048040 1199008375 1438810050 1918413400 2302096080 2398016750 2877620100 3597025125 3836826800 4796033500 5755240200 7194050250 9592067000 11510480400 14388100500 19184134000 28776201000 57552402000