Search a number
-
+
57311346650700 = 223521797110630339
BaseRepresentation
bin11010000011111110101100…
…11101010110111001001100
321111220220121021202211212110
431001333112131112321030
530002442114220310300
6321520245202104020
715033415411514202
oct1501772635267114
9244826537684773
1057311346650700
11172966730982aa
1265173a604b010
1325c958a8573ac
141021c538cb072
15695bedc33550
hex341fd6756e4c

57311346650700 has 72 divisors (see below), whose sum is σ = 165830072376640. Its totient is φ = 15282173908800.

The previous prime is 57311346650699. The next prime is 57311346650783. The reversal of 57311346650700 is 705664311375.

It is a self number, because there is not a number n which added to its sum of digits gives 57311346650700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76131 + ... + 10706469.

Almost surely, 257311346650700 is an apocalyptic number.

57311346650700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57311346650700 is an abundant number, since it is smaller than the sum of its proper divisors (108518725725940).

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

57311346650700 is a wasteful number, since it uses less digits than its factorization.

57311346650700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10648327 (or 10648320 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 57311346650700 in words is "fifty-seven trillion, three hundred eleven billion, three hundred forty-six million, six hundred fifty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 17971 35942 53913 71884 89855 107826 179710 215652 269565 359420 449275 539130 898550 1078260 1347825 1797100 2695650 5391300 10630339 21260678 31891017 42521356 53151695 63782034 106303390 127564068 159455085 212606780 265758475 318910170 531516950 637820340 797275425 1063033900 1594550850 3189101700 191037822169 382075644338 573113466507 764151288676 955189110845 1146226933014 1910378221690 2292453866028 2865567332535 3820756443380 4775945554225 5731134665070 9551891108450 11462269330140 14327836662675 19103782216900 28655673325350 57311346650700