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147144779520 = 2835192016787
BaseRepresentation
bin1000100100001010000…
…0110010011100000000
3112001210202212021200220
42021002200302130000
54402323030421040
6151333011143040
713426245663204
oct2110240623400
9461722767626
10147144779520
1157449434802
12246265a4a80
1310b4cb8989b
14719c4b4b04
153c630d82d0
hex2242832700

147144779520 has 144 divisors (see below), whose sum is σ = 494677760640. Its totient is φ = 37173399552.

The previous prime is 147144779519. The next prime is 147144779533. The reversal of 147144779520 is 25977441741.

It is a super-2 number, since 2×1471447795202 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935434 + ... + 1081353.

Almost surely, 2147144779520 is an apocalyptic number.

147144779520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

147144779520 is an abundant number, since it is smaller than the sum of its proper divisors (347532981120).

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

147144779520 is a wasteful number, since it uses less digits than its factorization.

147144779520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016830 (or 2016816 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 147144779520 in words is "one hundred forty-seven billion, one hundred forty-four million, seven hundred seventy-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 570 608 640 760 768 912 960 1140 1216 1280 1520 1824 1920 2280 2432 3040 3648 3840 4560 4864 6080 7296 9120 12160 14592 18240 24320 36480 72960 2016787 4033574 6050361 8067148 10083935 12100722 16134296 20167870 24201444 30251805 32268592 38318953 40335740 48402888 60503610 64537184 76637906 80671480 96805776 114956859 121007220 129074368 153275812 161342960 191594765 193611552 229913718 242014440 258148736 306551624 322685920 383189530 387223104 459827436 484028880 516297472 574784295 613103248 645371840 766379060 774446208 919654872 968057760 1149568590 1226206496 1290743680 1532758120 1548892416 1839309744 1936115520 2299137180 2452412992 2581487360 3065516240 3678619488 3872231040 4598274360 4904825984 6131032480 7357238976 7744462080 9196548720 9809651968 12262064960 14714477952 18393097440 24524129920 29428955904 36786194880 49048259840 73572389760 147144779520