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23351954868 = 223211172204047
BaseRepresentation
bin10101101111111000…
…101000110110110100
32020021102211012220100
4111233320220312310
5340311100023433
614421105234100
71454453225034
oct255770506664
966242735810
1023351954868
1199a362a360
124638632930
132281c7b098
1411b75478c4
1591a182b13
hex56fe28db4

23351954868 has 108 divisors (see below), whose sum is σ = 68405867712. Its totient is φ = 6660061440.

The previous prime is 23351954861. The next prime is 23351954897. The reversal of 23351954868 is 86845915332.

23351954868 is a `hidden beast` number, since 2 + 3 + 35 + 1 + 9 + 548 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23351954861) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12421 + ... + 216467.

It is an arithmetic number, because the mean of its divisors is an integer number (633387664).

Almost surely, 223351954868 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 23351954868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34202933856).

23351954868 is an abundant number, since it is smaller than the sum of its proper divisors (45053912844).

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

23351954868 is a wasteful number, since it uses less digits than its factorization.

23351954868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204102 (or 204080 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 23351954868 in words is "twenty-three billion, three hundred fifty-one million, nine hundred fifty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 289 306 374 396 561 578 612 748 867 1122 1156 1683 1734 2244 2601 3179 3366 3468 5202 6358 6732 9537 10404 12716 19074 28611 38148 57222 114444 204047 408094 612141 816188 1224282 1836423 2244517 2448564 3468799 3672846 4489034 6733551 6937598 7345692 8978068 10406397 13467102 13875196 20200653 20812794 26934204 31219191 38156789 40401306 41625588 58969583 62438382 76313578 80802612 114470367 117939166 124876764 152627156 176908749 228940734 235878332 343411101 353817498 457881468 530726247 648665413 686822202 707634996 1061452494 1297330826 1373644404 1945996239 2122904988 2594661652 3891992478 5837988717 7783984956 11675977434 23351954868