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147100718544 = 243131514673343
BaseRepresentation
bin1000100011111111100…
…0101101010111010000
3112001200200221202101220
42020333320231113100
54402230240443134
6151324354525040
713425202322433
oct2107770552720
9461620852356
10147100718544
115742658007a
1224613896780
1310b43a007c0
1471966c581a
153c5e2d3149
hex223fe2d5d0

147100718544 has 160 divisors (see below), whose sum is σ = 412957569024. Its totient is φ = 44852313600.

The previous prime is 147100718543. The next prime is 147100718561. The reversal of 147100718544 is 445817001741.

It is a super-2 number, since 2×1471007185442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 147100718496 and 147100718505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147100718543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44000937 + ... + 44004279.

Almost surely, 2147100718544 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 147100718544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206478784512).

147100718544 is an abundant number, since it is smaller than the sum of its proper divisors (265856850480).

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

147100718544 is a wasteful number, since it uses less digits than its factorization.

147100718544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The spelling of 147100718544 in words is "one hundred forty-seven billion, one hundred million, seven hundred eighteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 151 156 208 302 312 453 467 604 624 906 934 1208 1401 1812 1868 1963 2416 2802 3343 3624 3736 3926 5604 5889 6071 6686 7248 7472 7852 10029 11208 11778 12142 13372 15704 18213 20058 22416 23556 24284 26744 31408 36426 40116 43459 47112 48568 53488 70517 72852 80232 86918 94224 97136 130377 141034 145704 160464 173836 211551 260754 282068 291408 347672 423102 504793 521508 564136 695344 846204 916721 1009586 1043016 1128272 1514379 1561181 1692408 1833442 2019172 2086032 2750163 3028758 3122362 3384816 3666884 4038344 4683543 5500326 6057516 6244724 6562309 7333768 8076688 9367086 11000652 12115032 12489448 13124618 14667536 18734172 19686927 20295353 22001304 24230064 24978896 26249236 37468344 39373854 40590706 44002608 52498472 60886059 74936688 78747708 81181412 104996944 121772118 157495416 162362824 235738331 243544236 314990832 324725648 471476662 487088472 707214993 942953324 974176944 1414429986 1885906648 2828859972 3064598303 3771813296 5657719944 6129196606 9193794909 11315439888 12258393212 18387589818 24516786424 36775179636 49033572848 73550359272 147100718544