Search a number
-
+
736671913068 = 223713683987713
BaseRepresentation
bin10101011100001010001…
…00010101010001101100
32121102110221011121020110
422232011010111101230
544032201002204233
61322231123420020
7104136262641660
oct12560504252154
92542427147213
10736671913068
1126446a0a9773
12ba931b24610
1354610b84ba0
14279258a48a0
15142687de663
hexab8511546c

736671913068 has 96 divisors (see below), whose sum is σ = 2118670235136. Its totient is φ = 194002440192.

The previous prime is 736671913067. The next prime is 736671913093. The reversal of 736671913068 is 860319176637.

It is a junction number, because it is equal to n+sod(n) for n = 736671912999 and 736671913017.

It is not an unprimeable number, because it can be changed into a prime (736671913067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251980 + ... + 1239692.

It is an arithmetic number, because the mean of its divisors is an integer number (22069481616).

Almost surely, 2736671913068 is an apocalyptic number.

736671913068 is a gapful number since it is divisible by the number (78) 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 736671913068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059335117568).

736671913068 is an abundant number, since it is smaller than the sum of its proper divisors (1381998322068).

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

736671913068 is a wasteful number, since it uses less digits than its factorization.

736671913068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988423 (or 988421 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 736671913068 in words is "seven hundred thirty-six billion, six hundred seventy-one million, nine hundred thirteen thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 683 1092 1366 2049 2732 4098 4781 8196 8879 9562 14343 17758 19124 26637 28686 35516 53274 57372 62153 106548 124306 186459 248612 372918 745836 987713 1975426 2963139 3950852 5926278 6913991 11852556 12840269 13827982 20741973 25680538 27655964 38520807 41483946 51361076 77041614 82967892 89881883 154083228 179763766 269645649 359527532 539291298 674607979 1078582596 1349215958 2023823937 2698431916 4047647874 4722255853 8095295748 8769903727 9444511706 14166767559 17539807454 18889023412 26309711181 28333535118 35079614908 52619422362 56667070236 61389326089 105238844724 122778652178 184167978267 245557304356 368335956534 736671913068