Search a number
-
+
31464813372 = 223235312716937
BaseRepresentation
bin11101010011011100…
…101111001100111100
310000012211121010120020
4131103130233030330
51003414443011442
622242120052140
72162504333526
oct352334571474
9100184533506
1031464813372
1112387080aa3
126121604050
132c759b7685
141746bcca16
15c425229ec
hex75372f33c

31464813372 has 96 divisors (see below), whose sum is σ = 78674706432. Its totient is φ = 9764891136.

The previous prime is 31464813361. The next prime is 31464813389. The reversal of 31464813372 is 27331846413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1849288 + ... + 1866224.

It is an arithmetic number, because the mean of its divisors is an integer number (819528192).

Almost surely, 231464813372 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 31464813372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39337353216).

31464813372 is an abundant number, since it is smaller than the sum of its proper divisors (47209893060).

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

31464813372 is a wasteful number, since it uses less digits than its factorization.

31464813372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17147 (or 17145 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The spelling of 31464813372 in words is "thirty-one billion, four hundred sixty-four million, eight hundred thirteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 53 69 92 106 127 138 159 212 254 276 318 381 508 636 762 1219 1524 2438 2921 3657 4876 5842 6731 7314 8763 11684 13462 14628 16937 17526 20193 26924 33874 35052 40386 50811 67748 80772 101622 154813 203244 309626 389551 464439 619252 779102 897661 928878 1168653 1558204 1795322 1857756 2150999 2337306 2692983 3590644 4301998 4674612 5385966 6452997 8603996 10771932 12905994 20646203 25811988 41292406 49472977 61938609 82584812 98945954 114002947 123877218 148418931 197891908 228005894 247754436 296837862 342008841 456011788 593675724 684017682 1368035364 2622067781 5244135562 7866203343 10488271124 15732406686 31464813372