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23130296448 = 273773117877
BaseRepresentation
bin10101100010101011…
…000101000010000000
32012200222201210201020
4111202223011002000
5334332323441243
614343110305440
71446122163420
oct254253050200
965628653636
1023130296448
11989a4a4086
124596358280
13224807c85c
141195d28480
1590599b283
hex562ac5080

23130296448 has 128 divisors (see below), whose sum is σ = 71179451520. Its totient is φ = 6518071296.

The previous prime is 23130296443. The next prime is 23130296473. The reversal of 23130296448 is 84469203132.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×231302964482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (23130296443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137286 + ... + 255162.

It is an arithmetic number, because the mean of its divisors is an integer number (556089465).

Almost surely, 223130296448 is an apocalyptic number.

23130296448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23130296448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35589725760).

23130296448 is an abundant number, since it is smaller than the sum of its proper divisors (48049155072).

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

23130296448 is a wasteful number, since it uses less digits than its factorization.

23130296448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117974 (or 117962 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 23130296448 in words is "twenty-three billion, one hundred thirty million, two hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 128 146 168 192 219 224 292 336 384 438 448 511 584 672 876 896 1022 1168 1344 1533 1752 2044 2336 2688 3066 3504 4088 4672 6132 7008 8176 9344 12264 14016 16352 24528 28032 32704 49056 65408 98112 117877 196224 235754 353631 471508 707262 825139 943016 1414524 1650278 1886032 2475417 2829048 3300556 3772064 4950834 5658096 6601112 7544128 8605021 9901668 11316192 13202224 15088256 17210042 19803336 22632384 25815063 26404448 34420084 39606672 45264768 51630126 52808896 60235147 68840168 79213344 103260252 105617792 120470294 137680336 158426688 180705441 206520504 240940588 275360672 316853376 361410882 413041008 481881176 550721344 722821764 826082016 963762352 1101442688 1445643528 1652164032 1927524704 2891287056 3304328064 3855049408 5782574112 7710098816 11565148224 23130296448