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31948206540 = 2235717499579
BaseRepresentation
bin11101110000010000…
…101111000111001100
310001110112012001022220
4131300100233013030
51010412220102130
622402104535340
72210464163205
oct356020570714
9101415161286
1031948206540
1112604a25488
126237481550
133021ba6933
1417910a05ac
15c6ebaa410
hex77042f1cc

31948206540 has 48 divisors (see below), whose sum is σ = 90714919680. Its totient is φ = 8399527360.

The previous prime is 31948206503. The next prime is 31948206547. The reversal of 31948206540 is 4560284913.

It is a super-2 number, since 2×319482065402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31948206492 and 31948206501.

It is not an unprimeable number, because it can be changed into a prime (31948206547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3745530 + ... + 3754049.

It is an arithmetic number, because the mean of its divisors is an integer number (1889894160).

Almost surely, 231948206540 is an apocalyptic number.

31948206540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31948206540 is an abundant number, since it is smaller than the sum of its proper divisors (58766713140).

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

31948206540 is a wasteful number, since it uses less digits than its factorization.

31948206540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7499662 (or 7499660 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 31948206540 in words is "thirty-one billion, nine hundred forty-eight million, two hundred six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 7499579 14999158 22498737 29998316 37497895 44997474 74995790 89994948 112493685 149991580 224987370 449974740 532470109 1064940218 1597410327 2129880436 2662350545 3194820654 5324701090 6389641308 7987051635 10649402180 15974103270 31948206540