Search a number
-
+
6553106135142 = 2371499421924671
BaseRepresentation
bin101111101011100001110…
…0100000011100001100110
3212012110201020022110010220
41133113003210003201212
51324331230132311032
621534242211025210
71244306036043060
oct137270344034146
925173636273126
106553106135142
1120a717a635236
1289a051b9b206
13386c55912c78
1418925a096730
15b56dbebc12c
hex5f5c3903866

6553106135142 has 64 divisors (see below), whose sum is σ = 14992680960000. Its totient is φ = 1870547686560.

The previous prime is 6553106135129. The next prime is 6553106135167. The reversal of 6553106135142 is 2415316013556.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6553106135094 and 6553106135103.

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, 265607467 + ... + 265632137.

It is an arithmetic number, because the mean of its divisors is an integer number (234260640000).

Almost surely, 26553106135142 is an apocalyptic number.

6553106135142 is an abundant number, since it is smaller than the sum of its proper divisors (8439574824858).

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

6553106135142 is a wasteful number, since it uses less digits than its factorization.

6553106135142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30401.

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 6553106135142 in words is "six trillion, five hundred fifty-three billion, one hundred six million, one hundred thirty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 1499 2998 4219 4497 8438 8994 10493 12657 20986 24671 25314 29533 31479 49342 59066 62958 74013 88599 148026 172697 177198 345394 518091 1036182 6324281 12648562 18972843 36981829 37945686 44269967 73963658 88539934 104086949 110945487 132809901 208173898 221890974 258872803 265619802 312260847 517745606 624521694 728608643 776618409 1457217286 1553236818 2185825929 4371651858 156026336551 312052673102 468079009653 936158019306 1092184355857 2184368711714 3276553067571 6553106135142