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38003370972 = 22372915600727
BaseRepresentation
bin100011011001001011…
…010110101111011100
310122002112001021101020
4203121023112233130
51110312330332342
625243012044140
72513521215630
oct433113265734
9118075037336
1038003370972
1115131a04106
127447303650
133778518678
141ba734cdc0
15ec658d0ec
hex8d92d6bdc

38003370972 has 48 divisors (see below), whose sum is σ = 104836892160. Its totient is φ = 10483687872.

The previous prime is 38003370931. The next prime is 38003370973. The reversal of 38003370972 is 27907330083.

It is a super-4 number, since 4×380033709724 (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38003370973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7797928 + ... + 7802799.

It is an arithmetic number, because the mean of its divisors is an integer number (2184101920).

Almost surely, 238003370972 is an apocalyptic number.

It is an amenable number.

38003370972 is an abundant number, since it is smaller than the sum of its proper divisors (66833521188).

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

38003370972 is a wasteful number, since it uses less digits than its factorization.

38003370972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15600770 (or 15600768 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 38003370972 in words is "thirty-eight billion, three million, three hundred seventy thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 15600727 31201454 46802181 62402908 93604362 109205089 187208724 218410178 327615267 436820356 452421083 655230534 904842166 1310461068 1357263249 1809684332 2714526498 3166947581 5429052996 6333895162 9500842743 12667790324 19001685486 38003370972