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23462711168 = 2713412411427
BaseRepresentation
bin10101110110011111…
…001000111110000000
32020120011020012222112
4111312133020332000
5341022423224133
614440103154452
71460266516511
oct256637107600
966504205875
1023462711168
119a500a8196
124669745a28
13229bbb9760
1411c8138a08
15924c5e648
hex5767c8f80

23462711168 has 128 divisors (see below), whose sum is σ = 51815665440. Its totient is φ = 10513612800.

The previous prime is 23462711141. The next prime is 23462711197. The reversal of 23462711168 is 86111726432.

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

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16441271 + ... + 16442697.

Almost surely, 223462711168 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 23462711168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25907832720).

23462711168 is an abundant number, since it is smaller than the sum of its proper divisors (28352954272).

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

23462711168 is a wasteful number, since it uses less digits than its factorization.

23462711168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1724 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The spelling of 23462711168 in words is "twenty-three billion, four hundred sixty-two million, seven hundred eleven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 208 241 328 416 482 533 656 832 964 1066 1312 1427 1664 1928 2132 2624 2854 3133 3856 4264 5248 5708 6266 7712 8528 9881 11416 12532 15424 17056 18551 19762 22832 25064 30848 34112 37102 39524 45664 50128 58507 68224 74204 79048 91328 100256 117014 128453 148408 158096 182656 200512 234028 256906 296816 316192 343907 401024 468056 513812 593632 632384 687814 760591 936112 1027624 1187264 1264768 1375628 1521182 1872224 2055248 2374528 2751256 3042364 3744448 4110496 4470791 5502512 6084728 7488896 8220992 8941582 11005024 12169456 14100187 16441984 17883164 22010048 24338912 28200374 35766328 44020096 48677824 56400748 71532656 97355648 112801496 143065312 183302431 225602992 286130624 366604862 451205984 572261248 733209724 902411968 1466419448 1804823936 2932838896 5865677792 11731355584 23462711168