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38750219970 = 23571189188483
BaseRepresentation
bin100100000101101100…
…010110111011000010
310201000120101010121020
4210011230112323002
51113330024014340
625445051410310
72541160302150
oct440554267302
9121016333536
1038750219970
1115485541890
127615453996
13386717bb57
141c386003d0
15101be169d0
hex905b16ec2

38750219970 has 128 divisors (see below), whose sum is σ = 117252126720. Its totient is φ = 7961479680.

The previous prime is 38750219903. The next prime is 38750219987. The reversal of 38750219970 is 7991205783.

It is a super-3 number, since 3×387502199703 (a number of 33 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111349 + ... + 299831.

It is an arithmetic number, because the mean of its divisors is an integer number (916032240).

Almost surely, 238750219970 is an apocalyptic number.

38750219970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38750219970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58626063360).

38750219970 is an abundant number, since it is smaller than the sum of its proper divisors (78501906750).

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

38750219970 is a wasteful number, since it uses less digits than its factorization.

38750219970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188600.

The product of its (nonzero) digits is 952560, while the sum is 51.

The spelling of 38750219970 in words is "thirty-eight billion, seven hundred fifty million, two hundred nineteen thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 89 105 110 154 165 178 210 231 267 330 385 445 462 534 623 770 890 979 1155 1246 1335 1869 1958 2310 2670 2937 3115 3738 4895 5874 6230 6853 9345 9790 13706 14685 18690 20559 29370 34265 41118 68530 102795 188483 205590 376966 565449 942415 1130898 1319381 1884830 2073313 2638762 2827245 3958143 4146626 5654490 6219939 6596905 7916286 10366565 12439878 13193810 14513191 16774987 19790715 20733130 29026382 31099695 33549974 39581430 43539573 50324961 62199390 72565955 83874935 87079146 100649922 117424909 145131910 167749870 184524857 217697865 234849818 251624805 352274727 369049714 435395730 503249610 553574571 587124545 704549454 922624285 1107149142 1174249090 1291673999 1761373635 1845248570 2583347998 2767872855 3522747270 3875021997 5535745710 6458369995 7750043994 12916739990 19375109985 38750219970