Search a number
-
+
53233217928 = 2333111923167307
BaseRepresentation
bin110001100100111100…
…100111000110001000
312002101220200122211000
4301210330213012020
51333010200433203
640242140335000
73563111613042
oct614474470610
9162356618730
1053233217928
1120637844590
12a397844460
13503486c127
14280dcc4a92
1515b86554a3
hexc64f27188

53233217928 has 512 divisors, whose sum is σ = 178827264000. Its totient is φ = 14482955520.

The previous prime is 53233217897. The next prime is 53233217957. The reversal of 53233217928 is 82971233235.

53233217928 is a `hidden beast` number, since 532 + 3 + 3 + 21 + 7 + 92 + 8 = 666.

It is a super-2 number, since 2×532332179282 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 173397951 + ... + 173398257.

It is an arithmetic number, because the mean of its divisors is an integer number (349272000).

Almost surely, 253233217928 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 53233217928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89413632000).

53233217928 is an abundant number, since it is smaller than the sum of its proper divisors (125594046072).

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

53233217928 is a wasteful number, since it uses less digits than its factorization.

53233217928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 53233217928 in words is "fifty-three billion, two hundred thirty-three million, two hundred seventeen thousand, nine hundred twenty-eight".