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156420566456 = 237114335316729
BaseRepresentation
bin1001000110101101100…
…1000110110110111000
3112221202012220002021012
42101223121012312320
510030322131111311
6155505243333052
714205150606620
oct2215331066670
9487665802235
10156420566456
1160379371820
1226394b21188
131199a80a9cb
1477dc399880
1541075de78b
hex246b646db8

156420566456 has 128 divisors (see below), whose sum is σ = 375244531200. Its totient is φ = 59353620480.

The previous prime is 156420566453. The next prime is 156420566459. The reversal of 156420566456 is 654665024651.

156420566456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (156420566453) and next prime (156420566459).

It is a super-2 number, since 2×1564205664562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156420566453) 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 31 ways as a sum of consecutive naturals, for example, 9341900 + ... + 9358628.

It is an arithmetic number, because the mean of its divisors is an integer number (2931597900).

Almost surely, 2156420566456 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 156420566456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187622265600).

156420566456 is an abundant number, since it is smaller than the sum of its proper divisors (218823964744).

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

156420566456 is a wasteful number, since it uses less digits than its factorization.

156420566456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17149 (or 17145 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 50.

The spelling of 156420566456 in words is "one hundred fifty-six billion, four hundred twenty million, five hundred sixty-six thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 22 28 43 44 56 77 86 88 154 172 301 308 344 353 473 602 616 706 946 1204 1412 1892 2408 2471 2824 3311 3784 3883 4942 6622 7766 9884 13244 15179 15532 16729 19768 26488 27181 30358 31064 33458 54362 60716 66916 106253 108724 117103 121432 133832 166969 184019 212506 217448 234206 333938 368038 425012 468412 667876 719347 736076 850024 936824 1168783 1288133 1335752 1438694 1472152 2337566 2576266 2877388 4675132 5035429 5152532 5754776 5905337 7912817 9350264 10070858 10305064 11810674 15825634 20141716 23621348 31651268 40283432 41337359 47242696 55389719 63302536 64958707 82674718 110779438 129917414 165349436 221558876 253929491 259834828 330698872 443117752 454710949 507858982 519669656 909421898 1015717964 1777506437 1818843796 2031435928 2793224401 3555012874 3637687592 5586448802 7110025748 11172897604 14220051496 19552570807 22345795208 39105141614 78210283228 156420566456