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3877742322612 = 2232735772557277
BaseRepresentation
bin111000011011011011011…
…101000010001110110100
3111201201010112022012021200
4320123123131002032310
51002013104013310422
612125224335412500
7550105032616644
oct70333335021664
914651115265250
103877742322612
1112655a54a3074
12527648084130
13221891c66cb2
14d5980224524
156ad07be32ac
hex386db7423b4

3877742322612 has 72 divisors (see below), whose sum is σ = 9953570410056. Its totient is φ = 1272664203264.

The previous prime is 3877742322611. The next prime is 3877742322617. The reversal of 3877742322612 is 2162232477783.

3877742322612 is a `hidden beast` number, since 3 + 87 + 7 + 74 + 232 + 261 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 910928989476 + 2966813333136 = 954426^2 + 1722444^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3877742322611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237718 + ... + 2794994.

It is an arithmetic number, because the mean of its divisors is an integer number (138244033473).

Almost surely, 23877742322612 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3877742322612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976785205028).

3877742322612 is an abundant number, since it is smaller than the sum of its proper divisors (6075828087444).

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

3877742322612 is a wasteful number, since it uses less digits than its factorization.

3877742322612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2557937 (or 2557932 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The spelling of 3877742322612 in words is "three trillion, eight hundred seventy-seven billion, seven hundred forty-two million, three hundred twenty-two thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 577 657 876 1154 1314 1731 2308 2628 3462 5193 6924 10386 20772 42121 84242 126363 168484 252726 379089 505452 758178 1516356 2557277 5114554 7671831 10229108 15343662 23015493 30687324 46030986 92061972 186681221 373362442 560043663 746724884 1120087326 1475548829 1680130989 2240174652 2951097658 3360261978 4426646487 5902195316 6720523956 8853292974 13279939461 17706585948 26559878922 53119757844 107715064517 215430129034 323145193551 430860258068 646290387102 969435580653 1292580774204 1938871161306 3877742322612