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2157645736974 = 2371319347599383
BaseRepresentation
bin11111011001011101101…
…101010010110000001110
321122021021001010001020010
4133121131231102300032
5240322324302040344
64331113032134050
7311612321105460
oct37313555226016
97567231101203
102157645736974
11762063850322
122aa1bb237326
13128607b3a240
147660584c130
153b1d2e2a8b9
hex1f65db52c0e

2157645736974 has 128 divisors (see below), whose sum is σ = 5606781788160. Its totient is φ = 537544957824.

The previous prime is 2157645736969. The next prime is 2157645737003. The reversal of 2157645736974 is 4796375467512.

It is a super-3 number, since 3×21576457369743 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3300087 + ... + 3899469.

It is an arithmetic number, because the mean of its divisors is an integer number (43802982720).

Almost surely, 22157645736974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2157645736974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803390894080).

2157645736974 is an abundant number, since it is smaller than the sum of its proper divisors (3449136051186).

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

2157645736974 is a wasteful number, since it uses less digits than its factorization.

2157645736974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599774.

The product of its digits is 266716800, while the sum is 66.

The spelling of 2157645736974 in words is "two trillion, one hundred fifty-seven billion, six hundred forty-five million, seven hundred thirty-six thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 182 247 266 273 347 399 494 546 694 741 798 1041 1482 1729 2082 2429 3458 4511 4858 5187 6593 7287 9022 10374 13186 13533 14574 19779 27066 31577 39558 46151 63154 85709 92302 94731 138453 171418 189462 257127 276906 514254 599383 599963 1198766 1199926 1798149 1799889 3596298 3599778 4195681 7791979 8391362 11388277 12587043 15583958 22776554 23375937 25174086 34164831 46751874 54543853 68329662 79717939 109087706 148047601 159435878 163631559 207985901 239153817 296095202 327263118 415971802 444142803 478307634 623957703 888285606 1036333207 1247915406 1455901307 2072666414 2703816713 2911802614 3108999621 3951732119 4367703921 5407633426 6217999242 7903464238 8111450139 8735407842 11855196357 16222900278 18926716991 23710392714 27662124833 37853433982 51372517547 55324249666 56780150973 82986374499 102745035094 113560301946 154117552641 165972748998 308235105282 359607622829 719215245658 1078822868487 2157645736974