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156789940653241 = 72792226432
BaseRepresentation
bin100011101001100110000000…
…101101111000110010111001
3202120010222020112201022201221
4203221212000231320302321
5131022321244301400431
61313244145424512041
745011461615061200
oct4351460055706271
9676128215638657
10156789940653241
1145a5a270aa2295
1215702b35a7b621
1369642c6aa938c
142aa09605a0237
15131d6ed4c7111
hex8e9980b78cb9

156789940653241 has 27 divisors (see below), whose sum is σ = 184734393723621. Its totient is φ = 132684360924024.

The previous prime is 156789940653209. The next prime is 156789940653301. The reversal of 156789940653241 is 142356049987651.

The square root of 156789940653241 is 12521579.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 156789940653241 - 25 = 156789940653209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (156789940654241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6924421866 + ... + 6924444508.

It is a 3-persistent number, because k⋅156789940653241 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2156789940653241 is an apocalyptic number.

156789940653241 is the 12521579-th square number.

156789940653241 is the 6260790-th centered octagonal number.

It is an amenable number.

156789940653241 is a deficient number, since it is larger than the sum of its proper divisors (27944453070380).

156789940653241 is an frugal number, since it uses more digits than its factorization.

156789940653241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45458 (or 22729 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 70.

The spelling of 156789940653241 in words is "one hundred fifty-six trillion, seven hundred eighty-nine billion, nine hundred forty million, six hundred fifty-three thousand, two hundred forty-one".

Divisors: 1 7 49 79 553 3871 6241 22643 43687 158501 305809 1109507 1788797 12521579 87651053 141314963 512705449 989204741 3588938143 6924433187 25122567001 40503730471 283526113297 1984682793079 3199794707209 22398562950463 156789940653241