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9138766644 = 22327317391583
BaseRepresentation
bin10001000001011011…
…01000001100110100
3212120220012110001200
420200231220030310
5122204011013034
64110455252500
7442316143350
oct104055501464
925526173050
109138766644
11396a660707
12193067a130
13b28448137
14629a18460
1538748ca99
hex220b68334

9138766644 has 144 divisors (see below), whose sum is σ = 27306639360. Its totient is φ = 2521834560.

The previous prime is 9138766643. The next prime is 9138766649. The reversal of 9138766644 is 4466678319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9138766643) 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 47 ways as a sum of consecutive naturals, for example, 5772277 + ... + 5773859.

It is an arithmetic number, because the mean of its divisors is an integer number (189629440).

Almost surely, 29138766644 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 9138766644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13653319680).

9138766644 is an abundant number, since it is smaller than the sum of its proper divisors (18167872716).

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

9138766644 is a wasteful number, since it uses less digits than its factorization.

9138766644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2365 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 9138766644 is about 95596.8966232691. The cubic root of 9138766644 is about 2090.7199464102.

The spelling of 9138766644 in words is "nine billion, one hundred thirty-eight million, seven hundred sixty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 739 868 1116 1302 1478 1583 1953 2217 2604 2956 3166 3906 4434 4749 5173 6332 6651 7812 8868 9498 10346 11081 13302 14247 15519 18996 20692 22162 22909 26604 28494 31038 33243 44324 45818 46557 49073 56988 62076 66486 68727 91636 93114 98146 99729 132972 137454 147219 160363 186228 196292 199458 206181 274908 294438 320726 343511 398916 412362 441657 481089 588876 641452 687022 824724 883314 962178 1030533 1169837 1374044 1443267 1766628 1924356 2061066 2339674 2886534 3091599 3509511 4122132 4679348 5773068 6183198 7019022 8188859 10528533 12366396 14038044 16377718 21057066 24566577 32755436 36264947 42114132 49133154 72529894 73699731 98266308 108794841 145059788 147399462 217589682 253854629 294798924 326384523 435179364 507709258 652769046 761563887 1015418516 1305538092 1523127774 2284691661 3046255548 4569383322 9138766644