Search a number
-
+
31532734912 = 2671391732927
BaseRepresentation
bin11101010111011111…
…110101100111000000
310000101120101220101211
4131113133311213000
51004034340004122
622252543535504
72164260552520
oct352737654700
9100346356354
1031532734912
11124114524a8
1261402ba594
132c86aa9133
141751c2d680
15c4848c877
hex7577f59c0

31532734912 has 112 divisors (see below), whose sum is σ = 72467297280. Its totient is φ = 13334694912.

The previous prime is 31532734901. The next prime is 31532734921. The reversal of 31532734912 is 21943723513.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10771593 + ... + 10774519.

It is an arithmetic number, because the mean of its divisors is an integer number (647029440).

Almost surely, 231532734912 is an apocalyptic number.

31532734912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31532734912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36233648640).

31532734912 is an abundant number, since it is smaller than the sum of its proper divisors (40934562368).

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

31532734912 is a wasteful number, since it uses less digits than its factorization.

31532734912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3248 counting only the distinct ones).

The product of its digits is 136080, while the sum is 40.

The spelling of 31532734912 in words is "thirty-one billion, five hundred thirty-two million, seven hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 139 173 224 278 346 448 556 692 973 1112 1211 1384 1946 2224 2422 2768 2927 3892 4448 4844 5536 5854 7784 8896 9688 11072 11708 15568 19376 20489 23416 24047 31136 38752 40978 46832 48094 62272 77504 81956 93664 96188 163912 168329 187328 192376 327824 336658 384752 406853 506371 655648 673316 769504 813706 1012742 1311296 1346632 1539008 1627412 2025484 2693264 2847971 3254824 3544597 4050968 5386528 5695942 6509648 7089194 8101936 10773056 11391884 13019296 14178388 16203872 22783768 26038592 28356776 32407744 45567536 56713552 70385569 91135072 113427104 140771138 182270144 226854208 281542276 492698983 563084552 985397966 1126169104 1970795932 2252338208 3941591864 4504676416 7883183728 15766367456 31532734912