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1337914590248 = 232321492121761
BaseRepresentation
bin10011011110000001111…
…011001000010000101000
311201220101120100012100102
4103132001323020100220
5133410022113341443
62502343544524532
7165442525243355
oct23360173102050
94656346305312
101337914590248
114764519a7aa5
12197368a80748
139921b0c9b22
1448a80bc762c
1524c077c7cb8
hex13781ec8428

1337914590248 has 48 divisors (see below), whose sum is σ = 2640002368500. Its totient is φ = 635577451520.

The previous prime is 1337914590241. The next prime is 1337914590269. The reversal of 1337914590248 is 8420954197331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1058219575204 + 279695015044 = 1028698^2 + 528862^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1337914590193 and 1337914590202.

It is not an unprimeable number, because it can be changed into a prime (1337914590241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 430313 + ... + 1691448.

Almost surely, 21337914590248 is an apocalyptic number.

It is an amenable number.

1337914590248 is a deficient number, since it is larger than the sum of its proper divisors (1302087778252).

1337914590248 is a wasteful number, since it uses less digits than its factorization.

1337914590248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121962 (or 2121935 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 1337914590248 in words is "one trillion, three hundred thirty-seven billion, nine hundred fourteen million, five hundred ninety thousand, two hundred forty-eight".

Divisors: 1 2 4 8 23 46 92 149 184 298 529 596 1058 1192 2116 3427 4232 6854 13708 27416 78821 157642 315284 630568 2121761 4243522 8487044 16974088 48800503 97601006 195202012 316142389 390404024 632284778 1122411569 1264569556 2244823138 2529139112 4489646276 7271274947 8979292552 14542549894 29085099788 58170199576 167239323781 334478647562 668957295124 1337914590248