Search a number
-
+
380201387688 = 233219358177611
BaseRepresentation
bin1011000100001011100…
…01001100011010101000
31100100100212222122201100
411202011301030122220
522212123023401223
6450355003121400
736316513321143
oct5420561143250
91310325878640
10380201387688
11137273853991
1261828813260
1329b118b5525
141458a94105a
159d536ad043
hex5885c4c6a8

380201387688 has 96 divisors (see below), whose sum is σ = 1084224117600. Its totient is φ = 120028521600.

The previous prime is 380201387681. The next prime is 380201387701. The reversal of 380201387688 is 886783102083.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (380201387681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4860003 + ... + 4937613.

It is an arithmetic number, because the mean of its divisors is an integer number (11294001225).

Almost surely, 2380201387688 is an apocalyptic number.

380201387688 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380201387688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542112058800).

380201387688 is an abundant number, since it is smaller than the sum of its proper divisors (704022729912).

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

380201387688 is a wasteful number, since it uses less digits than its factorization.

380201387688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81223 (or 81216 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 380201387688 in words is "three hundred eighty billion, two hundred one million, three hundred eighty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 3581 7162 10743 14324 21486 28648 32229 42972 64458 68039 77611 85944 128916 136078 155222 204117 232833 257832 272156 310444 408234 465666 544312 612351 620888 698499 816468 931332 1224702 1396998 1474609 1632936 1862664 2449404 2793996 2949218 4423827 4898808 5587992 5898436 8847654 11796872 13271481 17695308 26542962 35390616 53085924 106171848 277924991 555849982 833774973 1111699964 1667549946 2223399928 2501324919 3335099892 5002649838 5280574829 6670199784 10005299676 10561149658 15841724487 20010599352 21122299316 31683448974 42244598632 47525173461 63366897948 95050346922 126733795896 190100693844 380201387688