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5686270956 = 223523347733
BaseRepresentation
bin1010100101110110…
…11001101111101100
3112200021201111100000
411102323121233230
543121141132311
62340124304300
7260624335302
oct52273315754
915607644300
105686270956
11245882a593
1211283a2090
136c80a1c92
143bd2a4272
15234316056
hex152ed9bec

5686270956 has 144 divisors (see below), whose sum is σ = 15620177664. Its totient is φ = 1805322816.

The previous prime is 5686270951. The next prime is 5686270957. The reversal of 5686270956 is 6590726865.

It is a happy number.

5686270956 is a `hidden beast` number, since 5 + 6 + 8 + 627 + 0 + 9 + 5 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5686270951) 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, 7757166 + ... + 7757898.

It is an arithmetic number, because the mean of its divisors is an integer number (108473456).

Almost surely, 25686270956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5686270956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7810088832).

5686270956 is an abundant number, since it is smaller than the sum of its proper divisors (9933906708).

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

5686270956 is a wasteful number, since it uses less digits than its factorization.

5686270956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 5686270956 is about 75407.3667223568. The cubic root of 5686270956 is about 1784.8806586409.

The spelling of 5686270956 in words is "five billion, six hundred eighty-six million, two hundred seventy thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 347 414 486 621 694 733 828 972 1041 1242 1388 1466 1863 2082 2199 2484 2932 3123 3726 4164 4398 5589 6246 6597 7452 7981 8796 9369 11178 12492 13194 15962 16859 18738 19791 22356 23943 26388 28107 31924 33718 37476 39582 47886 50577 56214 59373 67436 71829 79164 84321 95772 101154 112428 118746 143658 151731 168642 178119 202308 215487 237492 254351 287316 303462 337284 356238 430974 455193 508702 606924 646461 712476 763053 861948 910386 1017404 1292922 1365579 1526106 1820772 1939383 2289159 2585844 2731158 3052212 3878766 4096737 4578318 5462316 5850073 6867477 7757532 8193474 9156636 11700146 13734954 16386948 17550219 20602431 23400292 27469908 35100438 41204862 52650657 61807293 70200876 82409724 105301314 123614586 157951971 210602628 247229172 315903942 473855913 631807884 947711826 1421567739 1895423652 2843135478 5686270956