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145010717258268 = 223251773401915497
BaseRepresentation
bin100000111110001011110000…
…010010100111001000011100
3201000102220000012202210111210
4200332023300102213020130
5123001323422104231033
61232225000455344420
742354451520164161
oct4076136022471034
9630386005683453
10145010717258268
114222877751a544
121432006b982110
1362bb5b4c649b4
1427b47b0184068
1511b70dca4bd63
hex83e2f04a721c

145010717258268 has 96 divisors (see below), whose sum is σ = 340252435434240. Its totient is φ = 48066980416000.

The previous prime is 145010717258261. The next prime is 145010717258291. The reversal of 145010717258268 is 862852717010541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145010717258261) 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, 9357333496 + ... + 9357348992.

It is an arithmetic number, because the mean of its divisors is an integer number (3544296202440).

Almost surely, 2145010717258268 is an apocalyptic number.

It is an amenable number.

145010717258268 is an abundant number, since it is smaller than the sum of its proper divisors (195241718175972).

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

145010717258268 is a wasteful number, since it uses less digits than its factorization.

145010717258268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20547 (or 20545 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 57.

The spelling of 145010717258268 in words is "one hundred forty-five trillion, ten billion, seven hundred seventeen million, two hundred fifty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 251 502 753 773 1004 1506 1546 2319 3012 3092 4019 4638 8038 9276 12057 15497 16076 24114 30994 46491 48228 61988 92982 185964 194023 388046 582069 776092 1008769 1164138 2017538 2328276 3026307 3106687 3889747 4035076 6052614 6213374 7779494 9320061 11669241 11979181 12105228 12426748 15558988 18640122 23338482 23958362 35937543 37280244 46676964 47916724 62282443 71875086 124564886 143750172 186847329 249129772 373694658 747389316 779778437 1559556874 2339335311 3006774431 3119113748 4678670622 6013548862 9020323293 9357341244 12027097724 15632893193 18040646586 31265786386 36081293172 46898679579 48144328439 62531572772 93797359158 96288656878 144432985317 187594718316 192577313756 288865970634 577731941268 12084226438189 24168452876378 36252679314567 48336905752756 72505358629134 145010717258268