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38666660904 = 2334192165293
BaseRepresentation
bin100100000000101101…
…100110110000101000
310200210202010220010000
4210000231212300220
51113142131122104
625432504423000
72536124123544
oct440055466050
9120722126100
1038666660904
111544235a703
1275b1477a60
133852a73811
141c2b48ca24
15101490d639
hex900b66c28

38666660904 has 120 divisors (see below), whose sum is σ = 114303280410. Its totient is φ = 12210450624.

The previous prime is 38666660897. The next prime is 38666660917. The reversal of 38666660904 is 40906666683.

It can be written as a sum of positive squares in only one way, i.e., 27060908004 + 11605752900 = 164502^2 + 107730^2 .

It is a super-2 number, since 2×386666609042 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 151282 + ... + 316574.

Almost surely, 238666660904 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 38666660904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57151640205).

38666660904 is an abundant number, since it is smaller than the sum of its proper divisors (75636619506).

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

38666660904 is a wasteful number, since it uses less digits than its factorization.

38666660904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165349 (or 165317 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 38666660904 in words is "thirty-eight billion, six hundred sixty-six million, six hundred sixty thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 361 456 513 648 684 722 1026 1083 1368 1444 1539 2052 2166 2888 3078 3249 4104 4332 6156 6498 8664 9747 12312 12996 19494 25992 29241 38988 58482 77976 116964 165293 233928 330586 495879 661172 991758 1322344 1487637 1983516 2975274 3140567 3967032 4462911 5950548 6281134 8925822 9421701 11901096 12562268 13388733 17851644 18843402 25124536 26777466 28265103 35703288 37686804 53554932 56530206 59670773 75373608 84795309 107109864 113060412 119341546 169590618 179012319 226120824 238683092 254385927 339181236 358024638 477366184 508771854 537036957 678362472 716049276 1017543708 1074073914 1432098552 1611110871 2035087416 2148147828 3222221742 4296295656 4833332613 6444443484 9666665226 12888886968 19333330452 38666660904