Search a number
-
+
4150968336 = 243317975827
BaseRepresentation
bin1111011101101010…
…1100000000010000
3101201021210001002000
43313122230000100
532000121441321
61523521354000
7204602435334
oct36732540020
911637701060
104150968336
111840127a49
1297a198900
13511c9c2a8
142b54117c4
15194646826
hexf76ac010

4150968336 has 160 divisors (see below), whose sum is σ = 12747934080. Its totient is φ = 1288617984.

The previous prime is 4150968307. The next prime is 4150968347. The reversal of 4150968336 is 6338690514.

It is a junction number, because it is equal to n+sod(n) for n = 4150968291 and 4150968300.

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, 709455 + ... + 715281.

It is an arithmetic number, because the mean of its divisors is an integer number (79674588).

Almost surely, 24150968336 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 4150968336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6373967040).

4150968336 is an abundant number, since it is smaller than the sum of its proper divisors (8596965744).

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

4150968336 is a wasteful number, since it uses less digits than its factorization.

4150968336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5958 (or 5946 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4150968336 is about 64428.0089402117. The cubic root of 4150968336 is about 1607.1255548512.

The spelling of 4150968336 in words is "four billion, one hundred fifty million, nine hundred sixty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 97 102 108 136 144 153 194 204 216 272 291 306 388 408 432 459 582 612 776 816 873 918 1164 1224 1552 1649 1746 1836 2328 2448 2619 3298 3492 3672 4656 4947 5238 5827 6596 6984 7344 9894 10476 11654 13192 13968 14841 17481 19788 20952 23308 26384 29682 34962 39576 41904 44523 46616 52443 59364 69924 79152 89046 93232 99059 104886 118728 139848 157329 178092 198118 209772 237456 279696 297177 314658 356184 396236 419544 565219 594354 629316 712368 792472 839088 891531 1130438 1188708 1258632 1584944 1695657 1783062 2260876 2377416 2517264 2674593 3391314 3566124 4521752 4754832 5086971 5349186 6782628 7132248 9043504 9608723 10173942 10698372 13565256 14264496 15260913 19217446 20347884 21396744 27130512 28826169 30521826 38434892 40695768 42793488 57652338 61043652 76869784 81391536 86478507 115304676 122087304 153739568 172957014 230609352 244174608 259435521 345914028 461218704 518871042 691828056 1037742084 1383656112 2075484168 4150968336