Search a number
-
+
106770076546 = 2731750917987
BaseRepresentation
bin110001101101111111…
…1100001001110000010
3101012120222201212100111
41203123333201032002
53222131114422141
6121014405141534
710466601451000
oct1433377411602
9335528655314
10106770076546
114130aa19891
12188390ba8aa
13a0b72b21b3
14524c249a70
152b9d788381
hex18dbfe1382

106770076546 has 64 divisors (see below), whose sum is σ = 198155808000. Its totient is φ = 42979921152.

The previous prime is 106770076507. The next prime is 106770076549. The reversal of 106770076546 is 645670077601.

It is a super-2 number, since 2×1067700765462 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 106770076546.

It is not an unprimeable number, because it can be changed into a prime (106770076549) 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, 5926965 + ... + 5944951.

It is an arithmetic number, because the mean of its divisors is an integer number (3096184500).

Almost surely, 2106770076546 is an apocalyptic number.

106770076546 is a deficient number, since it is larger than the sum of its proper divisors (91385731454).

106770076546 is a wasteful number, since it uses less digits than its factorization.

106770076546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18536 (or 18522 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 49.

The spelling of 106770076546 in words is "one hundred six billion, seven hundred seventy million, seventy-six thousand, five hundred forty-six".

Divisors: 1 2 7 14 17 34 49 98 119 238 343 509 686 833 1018 1666 3563 5831 7126 8653 11662 17306 17987 24941 35974 49882 60571 121142 125909 174587 251818 305779 349174 423997 611558 847994 881363 1762726 2140453 2967979 4280906 5935958 6169541 9155383 12339082 14983171 18310766 29966342 64087681 104882197 128175362 155641511 209764394 311283022 448613767 897227534 1089490577 2178981154 3140296369 6280592738 7626434039 15252868078 53385038273 106770076546