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146432513670 = 23571103811823
BaseRepresentation
bin1000100001100000001…
…1101101011010000110
3111222222010121102122020
42020120003231122012
54344343210414140
6151134204544010
713402506554322
oct2103003553206
9458863542566
10146432513670
1157113377943
1224467b52006
1310a684444c1
147131a66982
153c207e16d0
hex22180ed686

146432513670 has 128 divisors (see below), whose sum is σ = 360729427968. Its totient is φ = 38031638400.

The previous prime is 146432513651. The next prime is 146432513681. The reversal of 146432513670 is 76315234641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177924879 + ... + 177925701.

It is an arithmetic number, because the mean of its divisors is an integer number (2818198656).

Almost surely, 2146432513670 is an apocalyptic number.

146432513670 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 146432513670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180364713984).

146432513670 is an abundant number, since it is smaller than the sum of its proper divisors (214296914298).

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

146432513670 is a wasteful number, since it uses less digits than its factorization.

146432513670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818.

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 146432513670 in words is "one hundred forty-six billion, four hundred thirty-two million, five hundred thirteen thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 71 103 142 206 213 309 355 426 515 618 710 811 823 1030 1065 1545 1622 1646 2130 2433 2469 3090 4055 4115 4866 4938 7313 8110 8230 12165 12345 14626 21939 24330 24690 36565 43878 57581 58433 73130 83533 84769 109695 115162 116866 167066 169538 172743 175299 219390 250599 254307 287905 292165 345486 350598 417665 423845 501198 508614 575810 584330 667453 835330 847690 863715 876495 1252995 1271535 1334906 1727430 1752990 2002359 2505990 2543070 3337265 4004718 5930843 6018599 6674530 10011795 11861686 12037198 17792529 18055797 20023590 29654215 30092995 35585058 36111594 47389163 59308430 60185990 68747659 88962645 90278985 94778326 137495318 142167489 177925290 180557970 206242977 236945815 284334978 343738295 412485954 473891630 687476590 710837445 1031214885 1421674890 2062429770 4881083789 9762167578 14643251367 24405418945 29286502734 48810837890 73216256835 146432513670