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2376394901136 = 2434428212
BaseRepresentation
bin100010100101001100001…
…011001000011010010000
322102011220001020221210000
4202211030023020122100
5302413324043314021
65015411210010000
7333455165242614
oct42451413103220
98364801227700
102376394901136
11836906a73013
12324689a16900
13143129650b99
1483037a51344
1541c373dcb26
hex2294c2c8690

2376394901136 has 75 divisors (see below), whose sum is σ = 6878136917113. Its totient is φ = 792113135040.

The previous prime is 2376394901117. The next prime is 2376394901227. The reversal of 2376394901136 is 6311094936732.

The square root of 2376394901136 is 1541556.

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

2376394901136 is a `hidden beast` number, since 2 + 3 + 7 + 6 + 39 + 490 + 113 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105466459536 + 2270928441600 = 324756^2 + 1506960^2 .

It is a super-3 number, since 3×23763949011363 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 55474606 + ... + 55517426.

Almost surely, 22376394901136 is an apocalyptic number.

2376394901136 is the 1541556-th square number.

It is an amenable number.

2376394901136 is an abundant number, since it is smaller than the sum of its proper divisors (4501742015977).

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

2376394901136 is an frugal number, since it uses more digits than its factorization.

2376394901136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85662 (or 42826 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 2376394901136 in words is "two trillion, three hundred seventy-six billion, three hundred ninety-four million, nine hundred one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 42821 85642 128463 171284 256926 342568 385389 513852 685136 770778 1027704 1156167 1541556 2055408 2312334 3083112 3468501 4624668 6166224 6937002 9249336 13874004 18498672 27748008 55496016 1833638041 3667276082 5500914123 7334552164 11001828246 14669104328 16502742369 22003656492 29338208656 33005484738 44007312984 49508227107 66010969476 88014625968 99016454214 132021938952 148524681321 198032908428 264043877904 297049362642 396065816856 594098725284 792131633712 1188197450568 2376394901136