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156350431016 = 23131091812421
BaseRepresentation
bin1001000110011100110…
…1100011111100101000
3112221120022220211112022
42101213031203330220
510030201202243031
6155454300204012
714203336510253
oct2214715437450
9487508824468
10156350431016
1160342818a4a
1226375539608
1311989122650
1477d2d4009a
15410138897b
hex2467363f28

156350431016 has 96 divisors (see below), whose sum is σ = 321134952600. Its totient is φ = 70935782400.

The previous prime is 156350431001. The next prime is 156350431019. The reversal of 156350431016 is 610134053651.

156350431016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 71059564900 + 85290866116 = 266570^2 + 292046^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156350431019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371378486 + ... + 371378906.

Almost surely, 2156350431016 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 156350431016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160567476300).

156350431016 is an abundant number, since it is smaller than the sum of its proper divisors (164784521584).

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

156350431016 is a wasteful number, since it uses less digits than its factorization.

156350431016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

Adding to 156350431016 its reverse (610134053651), we get a palindrome (766484484667).

The spelling of 156350431016 in words is "one hundred fifty-six billion, three hundred fifty million, four hundred thirty-one thousand, sixteen".

Divisors: 1 2 4 8 13 26 52 104 109 181 218 362 421 436 724 842 872 1417 1448 1684 2353 2834 3368 4706 5473 5668 9412 10946 11336 18824 19729 21892 32761 39458 43784 45889 65522 76201 78916 91778 131044 152402 157832 183556 256477 262088 304804 367112 425893 512954 596557 609608 851786 990613 1025908 1193114 1703572 1981226 2051816 2386228 3407144 3570949 3962452 4772456 7141898 7924904 8305909 13792381 14283796 16611818 27584762 28567592 33223636 46422337 55169524 66447272 92844674 107976817 110339048 179300953 185689348 215953634 358601906 371378696 431907268 717203812 863814536 1434407624 1503369529 3006739058 6013478116 12026956232 19543803877 39087607754 78175215508 156350431016