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146578134264 = 23317221132949
BaseRepresentation
bin1000100010000010111…
…1001101010011111000
3112000100021121201112120
42020200233031103320
54400143000244024
6151200450041240
713406225404212
oct2104057152370
9460307551476
10146578134264
1157188598841
12244a8879220
1310a8c66bc33
1471471315b2
153c2d4a8479
hex2220bcd4f8

146578134264 has 48 divisors (see below), whose sum is σ = 389268939000. Its totient is φ = 45985294848.

The previous prime is 146578134233. The next prime is 146578134299. The reversal of 146578134264 is 462431875641.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 11 ways as a sum of consecutive naturals, for example, 10559539 + ... + 10573410.

Almost surely, 2146578134264 is an apocalyptic number.

It is an amenable number.

146578134264 is an abundant number, since it is smaller than the sum of its proper divisors (242690804736).

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

146578134264 is a wasteful number, since it uses less digits than its factorization.

146578134264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21132992 (or 21132971 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The spelling of 146578134264 in words is "one hundred forty-six billion, five hundred seventy-eight million, one hundred thirty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1156 1734 2312 3468 6936 21132949 42265898 63398847 84531796 126797694 169063592 253595388 359260133 507190776 718520266 1077780399 1437040532 2155560798 2874081064 4311121596 6107422261 8622243192 12214844522 18322266783 24429689044 36644533566 48859378088 73289067132 146578134264