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146351213252664 = 23372149835223561
BaseRepresentation
bin100001010001101100001100…
…000101000001000000111000
3201012012001001200110220122020
4201101230030011001000320
5123140304241043041124
61235132452540554440
742553345332141300
oct4121541405010070
9635161050426566
10146351213252664
11426a52235706a2
12144b7a19252a20
136387b24ac34a4
14281d617b2c600
1511dbde6c80379
hex851b0c141038

146351213252664 has 96 divisors (see below), whose sum is σ = 428469687306000. Its totient is φ = 41533997191680.

The previous prime is 146351213252663. The next prime is 146351213252683. The reversal of 146351213252664 is 466252312153641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146351213252663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417436557 + ... + 417787004.

Almost surely, 2146351213252664 is an apocalyptic number.

146351213252664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146351213252664 is an abundant number, since it is smaller than the sum of its proper divisors (282118474053336).

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

146351213252664 is a wasteful number, since it uses less digits than its factorization.

146351213252664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835223733 (or 835223722 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 51.

The spelling of 146351213252664 in words is "one hundred forty-six trillion, three hundred fifty-one billion, two hundred thirteen million, two hundred fifty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 149 168 196 294 298 392 447 588 596 894 1043 1176 1192 1788 2086 3129 3576 4172 6258 7301 8344 12516 14602 21903 25032 29204 43806 58408 87612 175224 835223561 1670447122 2505670683 3340894244 5011341366 5846564927 6681788488 10022682732 11693129854 17539694781 20045365464 23386259708 35079389562 40925954489 46772519416 70158779124 81851908978 122777863467 124448310589 140317558248 163703817956 245555726934 248896621178 327407635912 373344931767 491111453868 497793242356 746689863534 871138174123 982222907736 995586484712 1493379727068 1742276348246 2613414522369 2986759454136 3484552696492 5226829044738 6097967218861 6969105392984 10453658089476 12195934437722 18293901656583 20907316178952 24391868875444 36587803313166 48783737750888 73175606626332 146351213252664