Search a number
-
+
56681906192 = 241723101109823
BaseRepresentation
bin110100110010100000…
…010100000000010000
312102022021000011201222
4310302200110000100
51412041031444232
642012253544212
74044426152552
oct646240240020
9172267004658
1056681906192
112204750507a
12ab9a7a5068
1354641b1282
142a59d274d2
15171b2c8d12
hexd32814010

56681906192 has 160 divisors (see below), whose sum is σ = 123812789760. Its totient is φ = 24999321600.

The previous prime is 56681906153. The next prime is 56681906201. The reversal of 56681906192 is 29160918665.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68871893 + ... + 68872715.

It is an arithmetic number, because the mean of its divisors is an integer number (773829936).

Almost surely, 256681906192 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 56681906192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61906394880).

56681906192 is an abundant number, since it is smaller than the sum of its proper divisors (67130883568).

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

56681906192 is a wasteful number, since it uses less digits than its factorization.

56681906192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 53.

The spelling of 56681906192 in words is "fifty-six billion, six hundred eighty-one million, nine hundred six thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 101 109 136 184 202 218 272 368 391 404 436 782 808 823 872 1564 1616 1646 1717 1744 1853 2323 2507 3128 3292 3434 3706 4646 5014 6256 6584 6868 7412 9292 10028 11009 13168 13736 13991 14824 18584 18929 20056 22018 27472 27982 29648 37168 37858 39491 40112 42619 44036 55964 75716 78982 83123 85238 88072 89707 111928 151432 157964 166246 170476 176144 179414 187153 223856 253207 302864 315928 321793 332492 340952 358828 374306 506414 631856 643586 664984 681904 717656 748612 1012828 1287172 1329968 1413091 1435312 1497224 1525019 1911829 2025656 2063261 2574344 2826182 2994448 3050038 3823658 4051312 4126522 4304519 5148688 5652364 6100076 7647316 8253044 8609038 9060407 11304728 12200152 15294632 16506088 17218076 18120814 22609456 24400304 30589264 32501093 33012176 34436152 35075437 36241628 65002186 68872304 70150874 72483256 130004372 140301748 144966512 154026919 208389361 260008744 280603496 308053838 416778722 520017488 561206992 616107676 833557444 1232215352 1667114888 2464430704 3334229776 3542619137 7085238274 14170476548 28340953096 56681906192