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123904192263076 = 22172192172312
BaseRepresentation
bin11100001011000010110001…
…010111011011001110100100
3121020201010101012022102102201
4130023002301113123032210
5112220021241204404301
61115304444454344244
735045532250650151
oct3413026127331644
9536633335272381
10123904192263076
11365305223a2005
1211a9156735b084
13541a166112bc4
142284dd002d228
15e4d074478201
hex70b0b15db3a4

123904192263076 has 81 divisors (see below), whose sum is σ = 243112652086017. Its totient is φ = 55235814906240.

The previous prime is 123904192263043. The next prime is 123904192263083. The reversal of 123904192263076 is 670362291409321.

It is a happy number.

The square root of 123904192263076 is 11131226.

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

It can be written as a sum of positive squares in only one way, i.e., 96465201588900 + 27438990674176 = 9821670^2 + 5238224^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 7190763381 + ... + 7190780611.

Almost surely, 2123904192263076 is an apocalyptic number.

123904192263076 is the 11131226-th square number.

It is an amenable number.

123904192263076 is a deficient number, since it is larger than the sum of its proper divisors (119208459822941).

123904192263076 is an frugal number, since it uses more digits than its factorization.

123904192263076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34538 (or 17269 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 123904192263076 in words is "one hundred twenty-three trillion, nine hundred four billion, one hundred ninety-two million, two hundred sixty-three thousand, seventy-six".

Divisors: 1 2 4 17 19 34 38 68 76 289 323 361 578 646 722 1156 1292 1444 5491 6137 10982 12274 17231 21964 24548 34462 68924 104329 208658 292927 327389 417316 585854 654778 1171708 1309556 4979759 5565613 6220391 9959518 11131226 12440782 19919036 22262452 24881564 94615421 105746647 189230842 211493294 296907361 378461684 422986588 593814722 1187629444 1797692999 3595385998 5047425137 5641239859 7190771996 10094850274 11282479718 20189700548 22564959436 85806227329 95901077603 107183557321 171612454658 191802155206 214367114642 343224909316 383604310412 428734229284 1630318319251 1822120474457 3260636638502 3644240948914 6521273277004 7288481897828 30976048065769 61952096131538 123904192263076