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31348568464 = 2419318773793
BaseRepresentation
bin11101001100100001…
…010011000110010000
32222220201212021112021
4131030201103012100
51003200213142324
622222404341224
72156563302223
oct351441230620
988821767467
1031348568464
11123274a4524
1260aa6a4814
132c578a69c5
1417355ad5ba
15c3720eae4
hex74c853190

31348568464 has 80 divisors (see below), whose sum is σ = 66089658880. Its totient is φ = 14350141440.

The previous prime is 31348568453. The next prime is 31348568467. The reversal of 31348568464 is 46486584313.

It is not an unprimeable number, because it can be changed into a prime (31348568467) 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, 8262952 + ... + 8266744.

It is an arithmetic number, because the mean of its divisors is an integer number (826120736).

Almost surely, 231348568464 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 31348568464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33044829440).

31348568464 is an abundant number, since it is smaller than the sum of its proper divisors (34741090416).

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

31348568464 is a wasteful number, since it uses less digits than its factorization.

31348568464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4728 (or 4722 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 52.

The spelling of 31348568464 in words is "thirty-one billion, three hundred forty-eight million, five hundred sixty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 589 877 1178 1754 2356 3508 3793 4712 7016 7586 9424 14032 15172 16663 27187 30344 33326 54374 60688 66652 72067 108748 117583 133304 144134 217496 235166 266608 288268 434992 470332 516553 576536 940664 1033106 1153072 1881328 2066212 2234077 3326461 4132424 4468154 6652922 8264848 8936308 13305844 17872616 26611688 35745232 53223376 63202759 103120291 126405518 206240582 252811036 412481164 505622072 824962328 1011244144 1649924656 1959285529 3918571058 7837142116 15674284232 31348568464