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1293880077 = 327312412749
BaseRepresentation
bin100110100011111…
…0000101100001101
310100011122220210100
41031013300230031
510122213130302
6332220201313
744030541060
oct11507605415
93304586710
101293880077
116043a8286
12301399239
131780a4519
14c3baa8d7
15788d1d1c
hex4d1f0b0d

1293880077 has 48 divisors (see below), whose sum is σ = 2214784000. Its totient is φ = 712281600.

The previous prime is 1293880039. The next prime is 1293880079. The reversal of 1293880077 is 7700883921.

It is not a de Polignac number, because 1293880077 - 27 = 1293879949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293880079) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469299 + ... + 472047.

Almost surely, 21293880077 is an apocalyptic number.

It is an amenable number.

1293880077 is a deficient number, since it is larger than the sum of its proper divisors (920903923).

1293880077 is a wasteful number, since it uses less digits than its factorization.

1293880077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1293880077 is about 35970.5445746933. The cubic root of 1293880077 is about 1089.6775627937.

The spelling of 1293880077 in words is "one billion, two hundred ninety-three million, eight hundred eighty thousand, seventy-seven".

Divisors: 1 3 7 9 21 31 63 93 217 241 279 651 723 1687 1953 2169 2749 5061 7471 8247 15183 19243 22413 24741 52297 57729 67239 85219 156891 173187 255657 470673 596533 662509 766971 1789599 1987527 4637563 5368797 5962581 13912689 20537779 41738067 61613337 143764453 184840011 431293359 1293880077