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20931133374 = 2346117911833
BaseRepresentation
bin10011011111100101…
…111011111110111110
32000000201121202010000
4103133211323332332
5320331332231444
613340550455130
71340456461314
oct233745737676
960021552100
1020931133374
118971096338
1240819644a6
131c87582128
141027c280b4
15827897469
hex4df97bfbe

20931133374 has 80 divisors (see below), whose sum is σ = 47940480720. Its totient is φ = 6823751040.

The previous prime is 20931133369. The next prime is 20931133393. The reversal of 20931133374 is 47333113902.

It is a happy number.

20931133374 is a `hidden beast` number, since 2 + 0 + 9 + 311 + 3 + 337 + 4 = 666.

It is a super-2 number, since 2×209311333742 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1762962 + ... + 1774794.

It is an arithmetic number, because the mean of its divisors is an integer number (599256009).

Almost surely, 220931133374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20931133374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23970240360).

20931133374 is an abundant number, since it is smaller than the sum of its proper divisors (27009347346).

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

20931133374 is a wasteful number, since it uses less digits than its factorization.

20931133374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12087 (or 12078 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 20931133374 in words is "twenty billion, nine hundred thirty-one million, one hundred thirty-three thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 179 183 358 366 537 549 1074 1098 1611 1647 3222 3294 4833 4941 9666 9882 10919 11833 14499 21838 23666 28998 32757 35499 65514 70998 98271 106497 196542 212994 294813 319491 589626 638982 721813 884439 958473 1443626 1768878 1916946 2118107 2165439 4236214 4330878 6354321 6496317 12708642 12992634 19062963 19488951 38125926 38977902 57188889 58466853 114377778 116933706 129204527 171566667 258409054 343133334 387613581 775227162 1162840743 2325681486 3488522229 6977044458 10465566687 20931133374