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147013355790 = 23257353661061
BaseRepresentation
bin1000100011101010101…
…1011100100100001110
3112001110121120021020100
42020322223130210032
54402040404341130
6151311554231530
713423061622510
oct2107253344416
9461417507210
10147013355790
1157391230154
12245aa5855a6
1310b2b893072
147188c63bb0
153c567c7c60
hex223aadc90e

147013355790 has 96 divisors (see below), whose sum is σ = 438077854656. Its totient is φ = 33507809280.

The previous prime is 147013355773. The next prime is 147013355809. The reversal of 147013355790 is 97553310741.

147013355790 is a `hidden beast` number, since 1 + 4 + 7 + 0 + 1 + 3 + 3 + 557 + 90 = 666.

It is a super-2 number, since 2×1470133557902 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108141 + ... + 552920.

It is an arithmetic number, because the mean of its divisors is an integer number (4563310986).

Almost surely, 2147013355790 is an apocalyptic number.

147013355790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 147013355790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219038927328).

147013355790 is an abundant number, since it is smaller than the sum of its proper divisors (291064498866).

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

147013355790 is a wasteful number, since it uses less digits than its factorization.

147013355790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661434 (or 661431 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 147013355790 in words is "one hundred forty-seven billion, thirteen million, three hundred fifty-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 353 630 706 1059 1765 2118 2471 3177 3530 4942 5295 6354 7413 10590 12355 14826 15885 22239 24710 31770 37065 44478 74130 111195 222390 661061 1322122 1983183 3305305 3966366 4627427 5949549 6610610 9254854 9915915 11899098 13882281 19831830 23137135 27764562 29747745 41646843 46274270 59495490 69411405 83293686 138822810 208234215 233354533 416468430 466709066 700063599 1166772665 1400127198 1633481731 2100190797 2333545330 3266963462 3500317995 4200381594 4900445193 7000635990 8167408655 9800890386 10500953985 14701335579 16334817310 21001907970 24502225965 29402671158 49004451930 73506677895 147013355790