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20860232346 = 23379127139277
BaseRepresentation
bin10011011011010111…
…011110001010011010
31222211210012121012000
4103123113132022122
5320210204413341
613325535101430
71335636022632
oct233327361232
958753177160
1020860232346
11893506a348
124062071876
131c75989465
14101c64d6c2
1582153e8b6
hex4db5de29a

20860232346 has 128 divisors (see below), whose sum is σ = 47824896000. Its totient is φ = 6737919552.

The previous prime is 20860232339. The next prime is 20860232377. The reversal of 20860232346 is 64323206802.

20860232346 is a `hidden beast` number, since 2 + 0 + 8 + 602 + 3 + 2 + 3 + 46 = 666.

20860232346 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20860232346.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75307560 + ... + 75307836.

It is an arithmetic number, because the mean of its divisors is an integer number (373632000).

Almost surely, 220860232346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20860232346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23912448000).

20860232346 is an abundant number, since it is smaller than the sum of its proper divisors (26964663654).

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

20860232346 is a wasteful number, since it uses less digits than its factorization.

20860232346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 20860232346 in words is "twenty billion, eight hundred sixty million, two hundred thirty-two thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 79 127 139 158 237 254 277 278 381 417 474 554 711 762 831 834 1143 1251 1422 1662 2133 2286 2493 2502 3429 3753 4266 4986 6858 7479 7506 10033 10981 14958 17653 20066 21883 21962 30099 32943 35179 35306 38503 43766 52959 60198 65649 65886 70358 77006 90297 98829 105537 105918 115509 131298 158877 180594 196947 197658 211074 231018 270891 296487 316611 317754 346527 393894 476631 541782 590841 592974 633222 693054 949833 953262 1039581 1181682 1394587 1899666 2079162 2779141 2789174 3041737 4183761 4889881 5558282 6083474 8337423 8367522 9125211 9779762 12551283 14669643 16674846 18250422 25012269 25102566 27375633 29339286 37653849 44008929 50024538 54751266 75036807 75307698 82126899 88017858 132026787 150073614 164253798 264053574 386300599 772601198 1158901797 2317803594 3476705391 6953410782 10430116173 20860232346