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61853270149 = 11193143535971
BaseRepresentation
bin111001100110101111…
…100000000010000101
312220122122211200110101
4321212233200002011
52003133414121044
644225350124101
74316532056446
oct714657400205
9186578750411
1061853270149
1124260616390
12bba2650631
135aa96abc48
142dcaa752cd
1519202cecd4
hexe66be0085

61853270149 has 128 divisors (see below), whose sum is σ = 78829977600. Its totient is φ = 47882016000.

The previous prime is 61853270137. The next prime is 61853270161. The reversal of 61853270149 is 94107235816.

It is an interprime number because it is at equal distance from previous prime (61853270137) and next prime (61853270161).

It is a cyclic number.

It is not a de Polignac number, because 61853270149 - 25 = 61853270117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61853270099 and 61853270108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61853270189) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 871172784 + ... + 871172854.

It is an arithmetic number, because the mean of its divisors is an integer number (615859200).

It is a 2-persistent number, because it is pandigital, and so is 2⋅61853270149 = 123706540298, but 3⋅61853270149 = 185559810447 is not.

Almost surely, 261853270149 is an apocalyptic number.

61853270149 is the 157294-th heptagonal number.

It is an amenable number.

61853270149 is a deficient number, since it is larger than the sum of its proper divisors (16976707451).

61853270149 is a wasteful number, since it uses less digits than its factorization.

61853270149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 61853270149 in words is "sixty-one billion, eight hundred fifty-three million, two hundred seventy thousand, one hundred forty-nine".

Divisors: 1 11 19 31 43 53 59 71 209 341 473 583 589 649 781 817 1007 1121 1333 1349 1643 1829 2201 2279 2537 3053 3127 3763 4189 6479 8987 11077 12331 14663 14839 18073 20119 24211 25069 25327 27907 31217 33583 34397 34751 41393 41819 43301 46079 48203 58007 59413 70649 71497 78647 79591 94643 96937 116653 129859 134461 161809 180127 222017 278597 343387 382261 460009 476311 530233 638077 653543 777139 786467 865117 875501 1041073 1066307 1283183 1342331 1428449 1479071 1494293 1779899 1798217 1841803 1981397 2216407 2442187 2467321 2554759 3074371 3422413 4168291 4218323 5016079 5583937 6882527 9546731 14765641 16437223 19780387 20259833 24380477 27140531 28102349 33818081 37646543 45851201 46401553 55176869 61423307 75707797 79197529 95305501 105014041 106094803 130768013 181387889 295948661 871172819 1048360511 1167042833 1438448143 1995266779 3255435271 5623024559 61853270149