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50076063270100 = 22527210657958957
BaseRepresentation
bin10110110001011001111011…
…11101101000010011010100
320120022020001221121201221201
423120230331331220103110
523030421234144120400
6254300343105122244
713355606346513100
oct1330547575502324
9216266057551851
1050076063270100
1114a5715926578a
1257490b0329384
1321c31ca0898ca
14c519a15bc900
155bc8d770506a
hex2d8b3df684d4

50076063270100 has 108 divisors (see below), whose sum is σ = 126418284308316. Its totient is φ = 17167307028480.

The previous prime is 50076063270091. The next prime is 50076063270131. The reversal of 50076063270100 is 107236067005.

It can be written as a sum of positive squares in 6 ways, for example, as 3133367297424 + 46942695972676 = 1770132^2 + 6851474^2 .

It is a super-2 number, since 2×500760632701002 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 50076063270100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51739822 + ... + 52698778.

Almost surely, 250076063270100 is an apocalyptic number.

50076063270100 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 50076063270100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63209142154158).

50076063270100 is an abundant number, since it is smaller than the sum of its proper divisors (76342221038216).

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

50076063270100 is a wasteful number, since it uses less digits than its factorization.

50076063270100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969642 (or 969628 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The spelling of 50076063270100 in words is "fifty trillion, seventy-six billion, sixty-three million, two hundred seventy thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 10657 21314 42628 53285 74599 106570 149198 213140 266425 298396 372995 522193 532850 745990 958957 1044386 1065700 1491980 1864975 1917914 2088772 2610965 3729950 3835828 4794785 5221930 6712699 7459900 9589570 10443860 13054825 13425398 19179140 23973925 26109650 26850796 33563495 46988893 47947850 52219300 67126990 93977786 95895700 134253980 167817475 187955572 234944465 335634950 469888930 671269900 939777860 1174722325 2349444650 4698889300 10219604749 20439209498 40878418996 51098023745 71537233243 102196047490 143074466486 204392094980 255490118725 286148932972 357686166215 500760632701 510980237450 715372332430 1001521265402 1021960474900 1430744664860 1788430831075 2003042530804 2503803163505 3576861662150 5007606327010 7153723324300 10015212654020 12519015817525 25038031635050 50076063270100