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67889429136 = 2432217132
BaseRepresentation
bin111111001110100001…
…100111101010010000
320111020022221022221100
4333032201213222100
52103014143213021
651104334024400
74622235424554
oct771641475220
9214208838840
1067889429136
11268788a3a31
12111a8048100
13652c0c8159
1434005b7864
151b751ab626
hexfce867a90

67889429136 has 45 divisors (see below), whose sum is σ = 190004861449. Its totient is φ = 22628767488.

The previous prime is 67889429117. The next prime is 67889429143. The reversal of 67889429136 is 63192498876.

The square root of 67889429136 is 260556.

It is a perfect power (a square), and thus also a powerful number.

67889429136 is a `hidden beast` number, since 6 + 78 + 8 + 9 + 429 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17598675600 + 50290753536 = 132660^2 + 224256^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3115816 + ... + 3137528.

Almost surely, 267889429136 is an apocalyptic number.

67889429136 is the 260556-th square number.

It is an amenable number.

67889429136 is an abundant number, since it is smaller than the sum of its proper divisors (122115432313).

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

67889429136 is an frugal number, since it uses more digits than its factorization.

67889429136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43440 (or 21718 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

It can be divided in two parts, 67889 and 429136, that added together give a square (497025 = 7052).

The spelling of 67889429136 in words is "sixty-seven billion, eight hundred eighty-nine million, four hundred twenty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 21713 43426 65139 86852 130278 173704 195417 260556 347408 390834 521112 781668 1042224 1563336 3126672 471454369 942908738 1414363107 1885817476 2828726214 3771634952 4243089321 5657452428 7543269904 8486178642 11314904856 16972357284 22629809712 33944714568 67889429136