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8125755216 = 2433114993643
BaseRepresentation
bin1111001000101010…
…10010111101010000
3202222022001010121220
413210111102331100
5113120143131331
63422151045040
7405235531305
oct74425227520
922868033556
108125755216
11349a860187
1216a9370780
139c66037a7
145712810ac
1532858b296
hex1e4552f50

8125755216 has 80 divisors (see below), whose sum is σ = 21689088000. Its totient is φ = 2618743680.

The previous prime is 8125755199. The next prime is 8125755221. The reversal of 8125755216 is 6125575218.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2228691 + ... + 2232333.

It is an arithmetic number, because the mean of its divisors is an integer number (271113600).

Almost surely, 28125755216 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 8125755216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10844544000).

8125755216 is an abundant number, since it is smaller than the sum of its proper divisors (13563332784).

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

8125755216 is a wasteful number, since it uses less digits than its factorization.

8125755216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5184 (or 5178 counting only the distinct ones).

The product of its digits is 168000, while the sum is 42.

The square root of 8125755216 is about 90142.9709738924. The cubic root of 8125755216 is about 2010.4251648812.

The spelling of 8125755216 in words is "eight billion, one hundred twenty-five million, seven hundred fifty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 1499 2998 3643 4497 5996 7286 8994 10929 11992 14572 17988 21858 23984 29144 35976 43716 46469 58288 71952 87432 92938 112933 139407 174864 185876 225866 278814 338799 371752 451732 557628 677598 743504 903464 1115256 1355196 1806928 2230512 2710392 5420784 5460857 10921714 16382571 21843428 32765142 43686856 65530284 87373712 131060568 169286567 262121136 338573134 507859701 677146268 1015719402 1354292536 2031438804 2708585072 4062877608 8125755216