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38940726748 = 227112234211187
BaseRepresentation
bin100100010001000011…
…000101010111011100
310201111211211212202211
4210101003011113130
51114222311223443
625520014530204
72545662500410
oct442103052734
9121454755684
1038940726748
1115573030400
127669206964
133897791161
141c55a30d40
15102d9e819d
hex9110c55dc

38940726748 has 144 divisors (see below), whose sum is σ = 89614812672. Its totient is φ = 14465404800.

The previous prime is 38940726733. The next prime is 38940726751. The reversal of 38940726748 is 84762704983.

It is a junction number, because it is equal to n+sod(n) for n = 38940726692 and 38940726701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32805411 + ... + 32806597.

It is an arithmetic number, because the mean of its divisors is an integer number (622325088).

Almost surely, 238940726748 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 38940726748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44807406336).

38940726748 is an abundant number, since it is smaller than the sum of its proper divisors (50674085924).

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

38940726748 is a wasteful number, since it uses less digits than its factorization.

38940726748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 58.

The spelling of 38940726748 in words is "thirty-eight billion, nine hundred forty million, seven hundred twenty-six thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 121 154 161 242 253 308 322 421 484 506 644 842 847 1012 1187 1684 1694 1771 2374 2783 2947 3388 3542 4631 4748 5566 5894 7084 8309 9262 9683 11132 11788 13057 16618 18524 19366 19481 26114 27301 32417 33236 38732 38962 50941 52228 54602 64834 67781 77924 91399 101882 106513 109204 129668 135562 143627 182798 191107 203764 213026 271124 287254 300311 356587 365596 382214 426052 499727 574508 600622 713174 745591 764428 999454 1005389 1171643 1201244 1426348 1491182 1998908 2010778 2102177 2343286 2982364 3303421 3498089 4021556 4204354 4686572 5496997 6606842 6996178 8201501 8408708 10993994 11493721 13213684 13992356 16403002 21987988 22987442 23123947 32806004 38478979 45974884 46247894 60466967 76957958 80456047 92495788 120933934 126430931 153915916 160912094 241867868 252861862 321824188 423268769 505723724 846537538 885016517 1390740241 1693075076 1770033034 2781480482 3540066068 5562960964 9735181687 19470363374 38940726748