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38346719952 = 24329113243787
BaseRepresentation
bin100011101101101001…
…001000001011010000
310122222110010012122010
4203231221020023100
51112013230014302
625341035142520
72525160512232
oct435551101320
9118873105563
1038346719952
11152987a62a2
1275222a4a40
1338016b3448
141bdaba8252
15ee67b116c
hex8eda482d0

38346719952 has 80 divisors (see below), whose sum is σ = 103385615040. Its totient is φ = 12232206336.

The previous prime is 38346719951. The next prime is 38346719963. The reversal of 38346719952 is 25991764383.

It is a super-2 number, since 2×383467199522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38346719892 and 38346719901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38346719951) 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, 35403 + ... + 279189.

It is an arithmetic number, because the mean of its divisors is an integer number (1292320188).

Almost surely, 238346719952 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 38346719952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51692807520).

38346719952 is an abundant number, since it is smaller than the sum of its proper divisors (65038895088).

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

38346719952 is a wasteful number, since it uses less digits than its factorization.

38346719952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243940 (or 243934 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 57.

The spelling of 38346719952 in words is "thirty-eight billion, three hundred forty-six million, seven hundred nineteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 113 116 174 226 232 339 348 452 464 678 696 904 1356 1392 1808 2712 3277 5424 6554 9831 13108 19662 26216 39324 52432 78648 157296 243787 487574 731361 975148 1462722 1950296 2925444 3900592 5850888 7069823 11701776 14139646 21209469 27547931 28279292 42418938 55095862 56558584 82643793 84837876 110191724 113117168 165287586 169675752 220383448 330575172 339351504 440766896 661150344 798889999 1322300688 1597779998 2396669997 3195559996 4793339994 6391119992 9586679988 12782239984 19173359976 38346719952