Search a number
-
+
102755464060 = 2251631671731091
BaseRepresentation
bin101111110110010110…
…0111111001101111100
3100211020012112102100011
41133230230333031330
53140420344322220
6115112154113004
710265243014264
oct1375454771574
9324205472304
10102755464060
113a63a865027
1217ab871b764
1398c7645652
144d8adb07a4
152a160c865a
hex17ecb3f37c

102755464060 has 96 divisors (see below), whose sum is σ = 219874217472. Its totient is φ = 40333697280.

The previous prime is 102755464001. The next prime is 102755464087. The reversal of 102755464060 is 60464557201.

It is a happy number.

It is a congruent number.

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, 94184115 + ... + 94185205.

It is an arithmetic number, because the mean of its divisors is an integer number (2290356432).

Almost surely, 2102755464060 is an apocalyptic number.

102755464060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102755464060 is an abundant number, since it is smaller than the sum of its proper divisors (117118753412).

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

102755464060 is a wasteful number, since it uses less digits than its factorization.

102755464060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 102755464060 in words is "one hundred two billion, seven hundred fifty-five million, four hundred sixty-four thousand, sixty".

Divisors: 1 2 4 5 10 20 163 167 173 326 334 346 652 668 692 815 835 865 1091 1630 1670 1730 2182 3260 3340 3460 4364 5455 10910 21820 27221 28199 28891 54442 56398 57782 108884 112796 115564 136105 140995 144455 177833 182197 188743 272210 281990 288910 355666 364394 377486 544420 563980 577820 711332 728788 754972 889165 910985 943715 1778330 1821970 1887430 3556660 3643940 3774860 4709233 9418466 18836932 23546165 29698111 30765109 31520081 47092330 59396222 61530218 63040162 94184660 118792444 123060436 126080324 148490555 153825545 157600405 296981110 307651090 315200810 593962220 615302180 630401620 5137773203 10275546406 20551092812 25688866015 51377732030 102755464060