Search a number
-
+
119906820624 = 24319617927283
BaseRepresentation
bin110111110101100000…
…0001110001000010000
3102110111111211121102110
41233223000032020100
53431032121224444
6131030123145320
711443255105263
oct1575300161020
9373444747373
10119906820624
1146941302078
121b2a4675240
13b3cbac1246
145b36c0ccda
1531bbbebcb9
hex1beb00e210

119906820624 has 160 divisors (see below), whose sum is σ = 335615027200. Its totient is φ = 36771770880.

The previous prime is 119906820619. The next prime is 119906820629. The reversal of 119906820624 is 426028609911.

It is an interprime number because it is at equal distance from previous prime (119906820619) and next prime (119906820629).

It is a super-3 number, since 3×1199068206243 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (119906820629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4381287 + ... + 4408569.

It is an arithmetic number, because the mean of its divisors is an integer number (2097593920).

Almost surely, 2119906820624 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 119906820624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167807513600).

119906820624 is an abundant number, since it is smaller than the sum of its proper divisors (215708206576).

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

119906820624 is a wasteful number, since it uses less digits than its factorization.

119906820624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27453 (or 27447 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 119906820624 in words is "one hundred nineteen billion, nine hundred six million, eight hundred twenty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 61 76 79 114 122 152 158 183 228 237 244 304 316 366 456 474 488 632 732 912 948 976 1159 1264 1464 1501 1896 2318 2928 3002 3477 3792 4503 4636 4819 6004 6954 9006 9272 9638 12008 13908 14457 18012 18544 19276 24016 27283 27816 28914 36024 38552 54566 55632 57828 72048 77104 81849 91561 109132 115656 163698 183122 218264 231312 274683 327396 366244 436528 518377 549366 654792 732488 1036754 1098732 1309584 1464976 1555131 1664263 2073508 2155357 2197464 3110262 3328526 4147016 4310714 4394928 4992789 6220524 6466071 6657052 8294032 8621428 9985578 12441048 12932142 13314104 17242856 19971156 24882096 25864284 26628208 31620997 34485712 39942312 40951783 51728568 63241994 79884624 81903566 94862991 103457136 122855349 126483988 131476777 163807132 189725982 245710698 252967976 262953554 327614264 379451964 394430331 491421396 505935952 525907108 655228528 758903928 788860662 982842792 1051814216 1517807856 1577721324 1965685584 2103628432 2498058763 3155442648 4996117526 6310885296 7494176289 9992235052 14988352578 19984470104 29976705156 39968940208 59953410312 119906820624