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261426070682076 = 2231919317359342241
BaseRepresentation
bin111011011100010000000000…
…000100111111100111011100
31021021122002101100121020112010
4323130100000010333213130
5233231201043043311301
62324001251235511220
7106031260511252616
oct7334200004774734
91237562340536463
10261426070682076
11763311a0599a93
12253a215a158510
13b2b44aca34a21
14487b1371b9db6
15203545a9685d6
hexedc40013f9dc

261426070682076 has 96 divisors (see below), whose sum is σ = 645465126476800. Its totient is φ = 82122880942080.

The previous prime is 261426070682017. The next prime is 261426070682087. The reversal of 261426070682076 is 670286070624162.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763694316 + ... + 764036556.

Almost surely, 2261426070682076 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 261426070682076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322732563238400).

261426070682076 is an abundant number, since it is smaller than the sum of its proper divisors (384039055794724).

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

261426070682076 is a wasteful number, since it uses less digits than its factorization.

261426070682076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359819 (or 359817 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 261426070682076 in words is "two hundred sixty-one trillion, four hundred twenty-six billion, seventy million, six hundred eighty-two thousand, seventy-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 193 228 386 579 772 1158 2316 3667 7334 11001 14668 17359 22002 34718 44004 52077 69436 104154 208308 329821 342241 659642 684482 989463 1026723 1319284 1368964 1978926 2053446 3350287 3957852 4106892 6502579 6700574 10050861 13005158 13401148 19507737 20101722 26010316 39015474 40203444 63655453 66052513 78030948 127310906 132105026 190966359 198157539 254621812 264210052 381932718 396315078 763865436 792630156 1254997747 2509995494 3764993241 5019990988 5940961519 7529986482 11881923038 15059972964 17822884557 23763846076 35645769114 71291538228 112878268861 225756537722 338634806583 451513075444 677269613166 1146605573167 1354539226332 2293211146334 3439816719501 4586422292668 6879633439002 13759266878004 21785505890173 43571011780346 65356517670519 87142023560692 130713035341038 261426070682076