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154053436132002 = 231137595779185021
BaseRepresentation
bin100011000001110001011100…
…010101100100101010100010
3202012110100211211200020221210
4203001301130111210222202
5130143002414122211002
61303351101015530550
744306664521325021
oct4301613425445242
9665410754606853
10154053436132002
11450a47715937a0
1215340708089a56
1367c623b26b264
142a083245808b8
1512c243b77296c
hex8c1c5c564aa2

154053436132002 has 128 divisors (see below), whose sum is σ = 351114325171200. Its totient is φ = 44643342585600.

The previous prime is 154053436131937. The next prime is 154053436132007. The reversal of 154053436132002 is 200231634350451.

154053436132002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1540534361320023 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (154053436132007) 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, 832534252 + ... + 832719272.

It is an arithmetic number, because the mean of its divisors is an integer number (2743080665400).

Almost surely, 2154053436132002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154053436132002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175557162585600).

154053436132002 is an abundant number, since it is smaller than the sum of its proper divisors (197060889039198).

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

154053436132002 is a wasteful number, since it uses less digits than its factorization.

154053436132002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190912.

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 154053436132002 in words is "one hundred fifty-four trillion, fifty-three billion, four hundred thirty-six million, one hundred thirty-two thousand, two".

Divisors: 1 2 3 6 11 22 33 37 59 66 74 111 118 177 222 354 407 649 814 1221 1298 1947 2183 2442 3894 4366 5779 6549 11558 13098 17337 24013 34674 48026 63569 72039 127138 144078 185021 190707 213823 340961 370042 381414 427646 555063 641469 681922 1022883 1110126 1282938 2035231 2045766 2352053 3750571 4070462 4704106 6105693 6845777 7056159 7501142 10916239 11251713 12211386 12615557 13691554 14112318 20537331 21832478 22503426 25231114 32748717 37846671 41074662 65497434 75303547 75693342 120078629 138771127 150607094 225910641 240157258 277542254 360235887 403900843 416313381 451821282 720471774 807801686 832626762 1069236359 1211702529 2138472718 2423405058 3207709077 4442909273 6415418154 8885818546 11761599949 13328727819 23523199898 26657455638 35284799847 39561745283 63084945181 70569599694 79123490566 118685235849 126169890362 189254835543 237370471698 378509671086 435179198113 693934396991 870358396226 1305537594339 1387868793982 2081803190973 2334142971697 2611075188678 4163606381946 4668285943394 7002428915091 14004857830182 25675572688667 51351145377334 77026718066001 154053436132002