Search a number
-
+
62100755968 = 29191691919
BaseRepresentation
bin111001110101011111…
…100101011000000000
312221021220112021011211
4321311133211120000
52004140243142333
644310110415504
74325625500446
oct716537453000
9187256467154
1062100755968
1124378292119
1210051501594
135b18a51164
143011898b96
151936db8ecd
hexe757e5600

62100755968 has 80 divisors (see below), whose sum is σ = 125046282240. Its totient is φ = 30809548800.

The previous prime is 62100755939. The next prime is 62100756013. The reversal of 62100755968 is 86955700126.

62100755968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67573813 + ... + 67574731.

It is an arithmetic number, because the mean of its divisors is an integer number (1563078528).

Almost surely, 262100755968 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 62100755968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62523141120).

62100755968 is an abundant number, since it is smaller than the sum of its proper divisors (62945526272).

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

62100755968 is an equidigital number, since it uses as much as digits as its factorization.

62100755968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

The spelling of 62100755968 in words is "sixty-two billion, one hundred million, seven hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 191 256 382 512 691 764 919 1382 1528 1838 2764 3056 3676 5528 6112 7352 11056 12224 14704 22112 24448 29408 44224 48896 58816 88448 97792 117632 131981 175529 176896 235264 263962 351058 353792 470528 527924 635029 702116 1055848 1270058 1404232 2111696 2540116 2808464 4223392 5080232 5616928 8446784 10160464 11233856 16893568 20320928 22467712 33787136 40641856 44935424 67574272 81283712 89870848 121290539 162567424 242581078 325134848 485162156 970324312 1940648624 3881297248 7762594496 15525188992 31050377984 62100755968