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2975996457 = 35783107197
BaseRepresentation
bin1011000101100010…
…0001101000101001
321200101212021200000
42301120201220221
522043323341312
61211145533213
7133514360340
oct26130415051
97611767600
102975996457
111297966205
126b07a4209
1338572ba65
14203358b57
15126401adc
hexb1621a29

2975996457 has 96 divisors (see below), whose sum is σ = 5230697472. Its totient is φ = 1655930304.

The previous prime is 2975996399. The next prime is 2975996479. The reversal of 2975996457 is 7546995792.

2975996457 is a `hidden beast` number, since 2 + 97 + 5 + 9 + 96 + 457 = 666.

It is not a de Polignac number, because 2975996457 - 212 = 2975992361 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2975996394 and 2975996403.

It is not an unprimeable number, because it can be changed into a prime (2975992457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15106483 + ... + 15106679.

It is an arithmetic number, because the mean of its divisors is an integer number (54486432).

Almost surely, 22975996457 is an apocalyptic number.

2975996457 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2975996457 is a deficient number, since it is larger than the sum of its proper divisors (2254701015).

2975996457 is a wasteful number, since it uses less digits than its factorization.

2975996457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 397 counting only the distinct ones).

The product of its digits is 42865200, while the sum is 63.

The square root of 2975996457 is about 54552.6943147632. The cubic root of 2975996457 is about 1438.3926988153.

The spelling of 2975996457 in words is "two billion, nine hundred seventy-five million, nine hundred ninety-six thousand, four hundred fifty-seven".

Divisors: 1 3 7 9 21 27 63 81 83 107 189 197 243 249 321 567 581 591 747 749 963 1379 1701 1743 1773 2241 2247 2889 4137 5229 5319 6723 6741 8667 8881 12411 15687 15957 16351 20169 20223 21079 26001 26643 37233 47061 47871 49053 60669 62167 63237 79929 111699 114457 141183 147159 147553 182007 186501 189711 239787 335097 343371 441477 442659 559503 569133 719361 1030113 1324431 1327977 1678509 1707399 1749557 2158083 3090339 3973293 3983931 5035527 5122197 5248671 9271017 11951793 12246899 15106581 15746013 27813051 35855379 36740697 47238039 110222091 141714117 330666273 425142351 991998819 2975996457