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152564464265601 = 34767827142313723
BaseRepresentation
bin100010101100000110101110…
…101100101010100110000001
3202000012000112211102100111210
4202230012232230222212001
5124444104010322444401
61300251051453200333
744064263435305323
oct4254065654524601
9660160484370453
10152564464265601
1144680253804403
12151400224900a9
1367189c884c8bb
142996233829613
1512988426734d6
hex8ac1aeb2a981

152564464265601 has 64 divisors (see below), whose sum is σ = 211266762375168. Its totient is φ = 97865320246848.

The previous prime is 152564464265599. The next prime is 152564464265611. The reversal of 152564464265601 is 106562464465251.

It is not a de Polignac number, because 152564464265601 - 21 = 152564464265599 is a prime.

It is a super-3 number, since 3×1525644642656013 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (152564464265611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11117421126 + ... + 11117434848.

It is an arithmetic number, because the mean of its divisors is an integer number (3301043162112).

Almost surely, 2152564464265601 is an apocalyptic number.

It is an amenable number.

152564464265601 is a deficient number, since it is larger than the sum of its proper divisors (58702298109567).

152564464265601 is a wasteful number, since it uses less digits than its factorization.

152564464265601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16090.

The product of its (nonzero) digits is 41472000, while the sum is 57.

The spelling of 152564464265601 in words is "one hundred fifty-two trillion, five hundred sixty-four billion, four hundred sixty-four million, two hundred sixty-five thousand, six hundred one".

Divisors: 1 3 47 67 141 201 827 1423 2481 3149 4269 9447 13723 38869 41169 55409 66881 95341 116607 166227 200643 286023 644981 919441 1176821 1934943 2604223 2758323 3530463 4481027 7812669 11348921 13443081 19527829 34046763 43213727 55310587 58583487 78847007 129641181 165931761 236541021 533399287 760377707 917807963 1308364543 1600197861 2281133121 2753423889 3705809329 3925093629 11117427987 16149514583 35737752229 48448543749 61493133521 107213256687 184479400563 759027185401 1082017477061 2277081556203 3246052431183 50854821421867 152564464265601