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146273152696 = 231119616732131
BaseRepresentation
bin1000100000111010001…
…1110010111010111000
3111222120000202001110221
42020032203302322320
54344031411341241
6151110313145424
713365533166136
oct2101643627270
9458500661427
10146273152696
1157041421660
12244226bb274
1310a41418878
147118822756
153c118135d1
hex220e8f2eb8

146273152696 has 128 divisors (see below), whose sum is σ = 320731257600. Its totient is φ = 61834752000.

The previous prime is 146273152691. The next prime is 146273152741. The reversal of 146273152696 is 696251372641.

146273152696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146273152691) 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, 68639551 + ... + 68641681.

It is an arithmetic number, because the mean of its divisors is an integer number (2505712950).

Almost surely, 2146273152696 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 146273152696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160365628800).

146273152696 is an abundant number, since it is smaller than the sum of its proper divisors (174458104904).

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

146273152696 is a wasteful number, since it uses less digits than its factorization.

146273152696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2897 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 52.

The spelling of 146273152696 in words is "one hundred forty-six billion, two hundred seventy-three million, one hundred fifty-two thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 19 22 38 44 61 76 88 122 152 209 244 418 488 671 673 836 1159 1342 1346 1672 2131 2318 2684 2692 4262 4636 5368 5384 7403 8524 9272 12749 12787 14806 17048 23441 25498 25574 29612 40489 41053 46882 50996 51148 59224 80978 82106 93764 101992 102296 129991 140657 161956 164212 187528 259982 281314 323912 328424 445379 451583 519964 562628 780007 890758 903166 1039928 1125256 1429901 1434163 1560014 1781516 1806332 2469829 2859802 2868326 3120028 3563032 3612664 4939658 5719604 5736652 6240056 8580077 9879316 11439208 11473304 15775793 17160154 19758632 27168119 27249097 31551586 34320308 54336238 54498194 63103172 68640616 87483943 108672476 108996388 126206344 174967886 217344952 217992776 299740067 349935772 599480134 699871544 962323373 1198960268 1662194917 1924646746 2397920536 3324389834 3849293492 6648779668 7698586984 13297559336 18284144087 36568288174 73136576348 146273152696