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8038138356 = 22341712711491
BaseRepresentation
bin1110111110001110…
…00100000111110100
3202202012011201220000
413133013010013310
5112430230411411
63405341111300
7403123022463
oct73707040764
922665151800
108038138356
113455357356
121683b58530
139b14074b1
145637949da
15320a30956
hex1df1c41f4

8038138356 has 120 divisors (see below), whose sum is σ = 22426500096. Its totient is φ = 2501694720.

The previous prime is 8038138351. The next prime is 8038138439. The reversal of 8038138356 is 6538318308.

It is a super-2 number, since 2×80381383562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8038138351) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 693771 + ... + 705261.

Almost surely, 28038138356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8038138356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11213250048).

8038138356 is an abundant number, since it is smaller than the sum of its proper divisors (14388361740).

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

8038138356 is a wasteful number, since it uses less digits than its factorization.

8038138356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11651 (or 11640 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8038138356 is about 89655.6654986175. The cubic root of 8038138356 is about 2003.1731592011.

The spelling of 8038138356 in words is "eight billion, thirty-eight million, one hundred thirty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 127 153 162 204 254 306 324 381 459 508 612 762 918 1143 1377 1524 1836 2159 2286 2754 3429 4318 4572 5508 6477 6858 8636 10287 11491 12954 13716 19431 20574 22982 25908 34473 38862 41148 45964 58293 68946 77724 103419 116586 137892 174879 195347 206838 233172 310257 349758 390694 413676 586041 620514 699516 781388 930771 1172082 1241028 1459357 1758123 1861542 2344164 2918714 3516246 3723084 4378071 5274369 5837428 7032492 8756142 10548738 13134213 15823107 17512284 21097476 24809069 26268426 31646214 39402639 49618138 52536852 63292428 74427207 78805278 99236276 118207917 148854414 157610556 223281621 236415834 297708828 446563242 472831668 669844863 893126484 1339689726 2009534589 2679379452 4019069178 8038138356