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146745994374 = 23273167560737
BaseRepresentation
bin1000100010101010111…
…1100010110010000110
3112000202222110220022200
42020222233202302012
54401013433304444
6151225243535330
713413334241250
oct2105257426206
9460688426280
10146745994374
1157264319601
1224534b2a546
1310ab8382245
147161548cd0
153c3d0b4969
hex222abe2c86

146745994374 has 96 divisors (see below), whose sum is σ = 380691757056. Its totient is φ = 39969262080.

The previous prime is 146745994363. The next prime is 146745994397. The reversal of 146745994374 is 473499547641.

146745994374 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 4 + 599 + 4 + 37 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18667 + ... + 542070.

It is an arithmetic number, because the mean of its divisors is an integer number (3965539136).

Almost surely, 2146745994374 is an apocalyptic number.

146745994374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146745994374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190345878528).

146745994374 is an abundant number, since it is smaller than the sum of its proper divisors (233945762682).

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

146745994374 is a wasteful number, since it uses less digits than its factorization.

146745994374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560850 (or 560847 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 146745994374 in words is "one hundred forty-six billion, seven hundred forty-five million, nine hundred ninety-four thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 67 93 126 134 186 201 217 279 402 434 469 558 603 651 938 1206 1302 1407 1953 2077 2814 3906 4154 4221 6231 8442 12462 14539 18693 29078 37386 43617 87234 130851 261702 560737 1121474 1682211 3364422 3925159 5046633 7850318 10093266 11775477 17382847 23550954 34765694 35326431 37569379 52148541 70652862 75138758 104297082 112708137 121679929 156445623 225416274 243359858 262985653 312891246 338124411 365039787 525971306 676248822 730079574 788956959 1095119361 1164650749 1577913918 2190238722 2329301498 2366870877 3493952247 4733741754 6987904494 8152555243 10481856741 16305110486 20963713482 24457665729 48915331458 73372997187 146745994374