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612674476216 = 2311193191114833
BaseRepresentation
bin10001110101001100011…
…11101001100010111000
32011120102100010011021021
420322212033221202320
540014224131214331
61145243032152224
762156434056505
oct10724617514270
92146370104237
10612674476216
11216919851130
129a8a7538674
1345a0c76598a
14219216b44ac
1510e0c91d211
hex8ea63e98b8

612674476216 has 64 divisors (see below), whose sum is σ = 1319580460800. Its totient is φ = 263746137600.

The previous prime is 612674476213. The next prime is 612674476217.

612674476216 is nontrivially palindromic in base 10.

612674476216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612674476213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5277936 + ... + 5392768.

It is an arithmetic number, because the mean of its divisors is an integer number (20618444700).

Almost surely, 2612674476216 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 612674476216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659790230400).

612674476216 is an abundant number, since it is smaller than the sum of its proper divisors (706905984584).

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

612674476216 is a wasteful number, since it uses less digits than its factorization.

612674476216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118060 (or 118056 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 52.

The spelling of 612674476216 in words is "six hundred twelve billion, six hundred seventy-four million, four hundred seventy-six thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1672 3191 6382 12764 25528 35101 60629 70202 114833 121258 140404 229666 242516 280808 459332 485032 666919 918664 1263163 1333838 2181827 2526326 2667676 4363654 5052652 5335352 8727308 10105304 17454616 24000097 48000194 96000388 192000776 366432103 732864206 1465728412 2931456824 4030753133 6962209957 8061506266 13924419914 16123012532 27848839828 32246025064 55697679656 76584309527 153168619054 306337238108 612674476216