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38742833088 = 263391124611
BaseRepresentation
bin100100000101010000…
…001011011111000000
310201000001110211201000
4210011100023133000
51113321131124323
625444225212000
72541040435101
oct440520133700
9121001424630
1038742833088
1115481356a23
127612a91000
13386579380b
141c3763a3a8
15101b457e43
hex90540b7c0

38742833088 has 112 divisors (see below), whose sum is σ = 114026411520. Its totient is φ = 12899577600.

The previous prime is 38742833081. The next prime is 38742833099. The reversal of 38742833088 is 88033824783.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38742833081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1561903 + ... + 1586513.

It is an arithmetic number, because the mean of its divisors is an integer number (1018092960).

Almost surely, 238742833088 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 38742833088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57013205760).

38742833088 is an abundant number, since it is smaller than the sum of its proper divisors (75283578432).

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

38742833088 is a wasteful number, since it uses less digits than its factorization.

38742833088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25543 (or 25527 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 38742833088 in words is "thirty-eight billion, seven hundred forty-two million, eight hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 911 1728 1822 2733 3644 5466 7288 8199 10932 14576 16398 21864 24597 24611 29152 32796 43728 49194 49222 58304 65592 73833 87456 98388 98444 131184 147666 174912 196776 196888 221499 262368 295332 393552 393776 442998 524736 590664 664497 787104 787552 885996 1181328 1328994 1574208 1575104 1771992 2362656 2657988 3543984 4725312 5315976 7087968 10631952 14175936 21263904 22420621 42527808 44841242 67261863 89682484 134523726 179364968 201785589 269047452 358729936 403571178 538094904 605356767 717459872 807142356 1076189808 1210713534 1434919744 1614284712 2152379616 2421427068 3228569424 4304759232 4842854136 6457138848 9685708272 12914277696 19371416544 38742833088