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38372100132069 = 321112792521120209
BaseRepresentation
bin10001011100110001100110…
…11001011100110011100101
312000212100002122010101120100
420232120303121130303211
520012142030113211234
6213335522140254313
711040202261344564
oct1056306331346345
9160770078111510
1038372100132069
11112545751909a0
12437892a841399
131854620412642
14969310665bdb
1546822e0a0399
hex22e63365cce5

38372100132069 has 48 divisors (see below), whose sum is σ = 60536909721600. Its totient is φ = 23228224588800.

The previous prime is 38372100132059. The next prime is 38372100132071. The reversal of 38372100132069 is 96023100127383.

38372100132069 is a `hidden beast` number, since 383 + 72 + 10 + 0 + 132 + 0 + 69 = 666.

It is not a de Polignac number, because 38372100132069 - 216 = 38372100066533 is a prime.

It is a super-2 number, since 2×383721001320692 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38372100132059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319151437 + ... + 319271645.

It is an arithmetic number, because the mean of its divisors is an integer number (1261185619200).

Almost surely, 238372100132069 is an apocalyptic number.

It is an amenable number.

38372100132069 is a deficient number, since it is larger than the sum of its proper divisors (22164809589531).

38372100132069 is a wasteful number, since it uses less digits than its factorization.

38372100132069 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124026 (or 124023 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 38372100132069 in words is "thirty-eight trillion, three hundred seventy-two billion, one hundred million, one hundred thirty-two thousand, sixty-nine".

Divisors: 1 3 9 11 33 99 1279 2521 3837 7563 11511 14069 22689 27731 42207 83193 120209 126621 249579 360627 1081881 1322299 3224359 3966897 9673077 11900691 29019231 35467949 106403847 153747311 303046889 319211541 461241933 909140667 1383725799 1691220421 2727422001 3333515779 5073661263 10000547337 15220983789 30001642011 387596971031 1162790913093 3488372739279 4263566681341 12790700044023 38372100132069