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31919742252 = 2235101541601
BaseRepresentation
bin11101101110100100…
…001001110100101100
310001101112121220200000
4131232210021310230
51010332423223002
622355210504300
72210000222016
oct355644116454
9101345556600
1031919742252
111259a953882
126229a35090
13301901b968
14178b3b11b6
15c6c43661c
hex76e909d2c

31919742252 has 144 divisors (see below), whose sum is σ = 84799906464. Its totient is φ = 10497600000.

The previous prime is 31919742149. The next prime is 31919742271. The reversal of 31919742252 is 25224791913.

31919742252 is a `hidden beast` number, since 3 + 1 + 91 + 97 + 422 + 52 = 666.

It is a super-2 number, since 2×319197422522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31919742198 and 31919742207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53110752 + ... + 53111352.

Almost surely, 231919742252 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 31919742252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42399953232).

31919742252 is an abundant number, since it is smaller than the sum of its proper divisors (52880164212).

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

31919742252 is a wasteful number, since it uses less digits than its factorization.

31919742252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1248 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 31919742252 in words is "thirty-one billion, nine hundred nineteen million, seven hundred forty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 243 303 324 404 486 541 601 606 909 972 1082 1202 1212 1623 1803 1818 2164 2404 2727 3246 3606 3636 4869 5409 5454 6492 7212 8181 9738 10818 10908 14607 16227 16362 19476 21636 24543 29214 32454 32724 43821 48681 49086 54641 58428 60701 64908 87642 97362 98172 109282 121402 131463 146043 163923 175284 182103 194724 218564 242804 262926 292086 325141 327846 364206 491769 525852 546309 584172 650282 655692 728412 975423 983538 1092618 1300564 1475307 1638927 1950846 1967076 2185236 2926269 2950614 3277854 3901692 4425921 4916781 5852538 5901228 6555708 8778807 8851842 9833562 11705076 13277763 14750343 17557614 17703684 19667124 26336421 26555526 29500686 32839241 35115228 52672842 53111052 59001372 65678482 79009263 98517723 105345684 131356964 158018526 197035446 295553169 316037052 394070892 591106338 886659507 1182212676 1773319014 2659978521 3546638028 5319957042 7979935563 10639914084 15959871126 31919742252