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76835456141 is a prime number
BaseRepresentation
bin100011110001111000…
…0000000010010001101
321100022210110120220212
41013203300000102031
52224324334044031
655144150252205
75360024413133
oct1074360002215
9240283416825
1076835456141
112a649680484
1212a84057065
13732662b862
143a0c77d753
151eea77612b
hex11e3c0048d

76835456141 has 2 divisors, whose sum is σ = 76835456142. Its totient is φ = 76835456140.

The previous prime is 76835456107. The next prime is 76835456167. The reversal of 76835456141 is 14165453867.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48595998025 + 28239458116 = 220445^2 + 168046^2 .

It is a cyclic number.

It is not a de Polignac number, because 76835456141 - 26 = 76835456077 is a prime.

It is a super-3 number, since 3×768354561413 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 76835456141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (76835453141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38417728070 + 38417728071.

It is an arithmetic number, because the mean of its divisors is an integer number (38417728071).

Almost surely, 276835456141 is an apocalyptic number.

It is an amenable number.

76835456141 is a deficient number, since it is larger than the sum of its proper divisors (1).

76835456141 is an equidigital number, since it uses as much as digits as its factorization.

76835456141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2419200, while the sum is 50.

The spelling of 76835456141 in words is "seventy-six billion, eight hundred thirty-five million, four hundred fifty-six thousand, one hundred forty-one".