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38107377072 = 2433177371081
BaseRepresentation
bin100011011111011000…
…000110110110110000
310122100202202022221000
4203133120012312300
51111020442031242
625301205202000
72516223234462
oct433730066660
9118322668830
1038107377072
1115185691466
127476100300
133793c3273b
141bb70a4132
15ed0784a4c
hex8df606db0

38107377072 has 160 divisors (see below), whose sum is σ = 117404717760. Its totient is φ = 11791319040.

The previous prime is 38107377067. The next prime is 38107377083. The reversal of 38107377072 is 27077370183.

38107377072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500572 + ... + 571652.

It is an arithmetic number, because the mean of its divisors is an integer number (733779486).

Almost surely, 238107377072 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 38107377072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58702358880).

38107377072 is an abundant number, since it is smaller than the sum of its proper divisors (79297340688).

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

38107377072 is a wasteful number, since it uses less digits than its factorization.

38107377072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71188 (or 71176 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 38107377072 in words is "thirty-eight billion, one hundred seven million, three hundred seventy-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 73 102 108 136 144 146 153 204 216 219 272 292 306 408 432 438 459 584 612 657 816 876 918 1168 1224 1241 1314 1752 1836 1971 2448 2482 2628 3504 3672 3723 3942 4964 5256 7344 7446 7884 9928 10512 11169 14892 15768 19856 22338 29784 31536 33507 44676 59568 67014 71081 89352 134028 142162 178704 213243 268056 284324 426486 536112 568648 639729 852972 1137296 1208377 1279458 1705944 1919187 2416754 2558916 3411888 3625131 3838374 4833508 5117832 5188913 7250262 7676748 9667016 10235664 10377826 10875393 14500524 15353496 15566739 19334032 20755652 21750786 29001048 30706992 31133478 32626179 41511304 43501572 46700217 58002096 62266956 65252358 83022608 87003144 88211521 93400434 124533912 130504716 140100651 174006288 176423042 186800868 249067824 261009432 264634563 280201302 352846084 373601736 522018864 529269126 560402604 705692168 747203472 793903689 1058538252 1120805208 1411384336 1587807378 2117076504 2241610416 2381711067 3175614756 4234153008 4763422134 6351229512 9526844268 12702459024 19053688536 38107377072