Search a number
-
+
67434027136 = 277689910909
BaseRepresentation
bin111110110011011000…
…011001100010000000
320110001121000111211121
4332303120121202000
52101101102332021
650551225122024
74605035526130
oct766330314200
9213047014747
1067434027136
1126664828743
121109b629314
136488959708
143399d10ac0
151b4a202741
hexfb3619880

67434027136 has 64 divisors (see below), whose sum is σ = 153569160000. Its totient is φ = 28893459456.

The previous prime is 67434027131. The next prime is 67434027163. The reversal of 67434027136 is 63172043476.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 67434027092 and 67434027101.

It is not an unprimeable number, because it can be changed into a prime (67434027131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6176050 + ... + 6186958.

It is an arithmetic number, because the mean of its divisors is an integer number (2399518125).

Almost surely, 267434027136 is an apocalyptic number.

It is an amenable number.

67434027136 is an abundant number, since it is smaller than the sum of its proper divisors (86135132864).

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

67434027136 is a wasteful number, since it uses less digits than its factorization.

67434027136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17829 (or 17817 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 43.

The spelling of 67434027136 in words is "sixty-seven billion, four hundred thirty-four million, twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 6899 10909 13798 21818 27596 43636 48293 55192 76363 87272 96586 110384 152726 174544 193172 220768 305452 349088 386344 441536 610904 698176 772688 883072 1221808 1396352 1545376 2443616 3090752 4887232 6181504 9774464 75261191 150522382 301044764 526828337 602089528 1053656674 1204179056 2107313348 2408358112 4214626696 4816716224 8429253392 9633432448 16858506784 33717013568 67434027136