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127145682620 = 225114361921713
BaseRepresentation
bin111011001101001111…
…0010010011010111100
3110011012000000220021022
41312122132102122330
54040343243320440
6134224313123312
712120534320225
oct1663236223274
9404160026238
10127145682620
1149a16472250
12207849b9538
13bcb373a038
14622238624c
153492499cb5
hex1d9a7926bc

127145682620 has 96 divisors (see below), whose sum is σ = 298548391680. Its totient is φ = 45084533760.

The previous prime is 127145682593. The next prime is 127145682647. The reversal of 127145682620 is 26286541721.

It is an interprime number because it is at equal distance from previous prime (127145682593) and next prime (127145682647).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5844884 + ... + 5866596.

It is an arithmetic number, because the mean of its divisors is an integer number (3109879080).

Almost surely, 2127145682620 is an apocalyptic number.

127145682620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127145682620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149274195840).

127145682620 is an abundant number, since it is smaller than the sum of its proper divisors (171402709060).

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

127145682620 is a wasteful number, since it uses less digits than its factorization.

127145682620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22395 (or 22393 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 127145682620 in words is "one hundred twenty-seven billion, one hundred forty-five million, six hundred eighty-two thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 619 860 946 1238 1892 2365 2476 3095 4730 6190 6809 9460 12380 13618 21713 26617 27236 34045 43426 53234 68090 86852 106468 108565 133085 136180 217130 238843 266170 292787 434260 477686 532340 585574 933659 955372 1171148 1194215 1463935 1867318 2388430 2927870 3734636 4668295 4776860 5855740 9336590 10270249 13440347 18673180 20540498 26880694 41080996 51351245 53761388 67201735 102702490 134403470 147843817 205404980 268806940 295687634 577934921 591375268 739219085 1155869842 1478438170 2311739684 2889674605 2956876340 5779349210 6357284131 11558698420 12714568262 25429136524 31786420655 63572841310 127145682620