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39972718998 = 23646159471
BaseRepresentation
bin100101001110100011…
…110100100110010110
310211011202201112000000
4211032203310212112
51123331004001443
630210242032130
72613363335232
oct451643644626
9124152645000
1039972718998
1115a52615463
1278b6948646
133a00520064
141d12b095c2
15108e3e88d3
hex94e8f4996

39972718998 has 56 divisors (see below), whose sum is σ = 90094013856. Its totient is φ = 13295113200.

The previous prime is 39972718993. The next prime is 39972719027. The reversal of 39972718998 is 89981727993.

39972718998 is a `hidden beast` number, since 399 + 7 + 2 + 71 + 89 + 98 = 666.

39972718998 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×399727189983 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39972718993) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 642403 + ... + 701873.

It is an arithmetic number, because the mean of its divisors is an integer number (1608821676).

Almost surely, 239972718998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39972718998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45047006928).

39972718998 is an abundant number, since it is smaller than the sum of its proper divisors (50121294858).

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

39972718998 is an equidigital number, since it uses as much as digits as its factorization.

39972718998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59952 (or 59937 counting only the distinct ones).

The product of its digits is 123451776, while the sum is 72.

The spelling of 39972718998 in words is "thirty-nine billion, nine hundred seventy-two million, seven hundred eighteen thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 461 486 729 922 1383 1458 2766 4149 8298 12447 24894 37341 59471 74682 112023 118942 178413 224046 336069 356826 535239 672138 1070478 1605717 3211434 4817151 9634302 14451453 27416131 28902906 43354359 54832262 82248393 86708718 164496786 246745179 493490358 740235537 1480471074 2220706611 4441413222 6662119833 13324239666 19986359499 39972718998