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2134274751 = 347107127277
BaseRepresentation
bin111111100110110…
…0111001010111111
312111202000101120000
41333031213022333
513332333243001
6551440525343
7103614015240
oct17715471277
95452011500
102134274751
119a5819234
124b6920853
1328022b78b
1416364ccc7
15c7587a86
hex7f3672bf

2134274751 has 80 divisors (see below), whose sum is σ = 3720093696. Its totient is φ = 1194346944.

The previous prime is 2134274717. The next prime is 2134274767. The reversal of 2134274751 is 1574724312.

It is not a de Polignac number, because 2134274751 - 210 = 2134273727 is a prime.

It is a super-2 number, since 2×21342747512 = 9110257425512224002, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134274711) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7704825 + ... + 7705101.

Almost surely, 22134274751 is an apocalyptic number.

2134274751 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2134274751 is a deficient number, since it is larger than the sum of its proper divisors (1585818945).

2134274751 is a wasteful number, since it uses less digits than its factorization.

2134274751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 521 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 2134274751 is about 46198.2115562930. The cubic root of 2134274751 is about 1287.5085117859.

The spelling of 2134274751 in words is "two billion, one hundred thirty-four million, two hundred seventy-four thousand, seven hundred fifty-one".

Divisors: 1 3 7 9 21 27 63 81 107 127 189 277 321 381 567 749 831 889 963 1143 1939 2247 2493 2667 2889 3429 5817 6741 7479 8001 8667 10287 13589 17451 20223 22437 24003 29639 35179 40767 52353 60669 72009 88917 95123 105537 122301 157059 207473 246253 266751 285369 316611 366903 622419 738759 800253 856107 949833 1100709 1867257 2216277 2400759 2568321 2849499 3764153 5601771 6648831 7704963 11292459 16805313 19946493 26349071 33877377 79047213 101632131 237141639 304896393 711424917 2134274751