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4921210368 = 29321956209
BaseRepresentation
bin1001001010101001…
…11011011000000000
3110200222010101111200
410211110323120000
540034312212433
62132154341200
7232644412044
oct44524733000
913628111450
104921210368
1120a5993208
12b5412a800
136057333c9
14349832024
151dc091613
hex12553b600

4921210368 has 120 divisors (see below), whose sum is σ = 14950735800. Its totient is φ = 1554038784.

The previous prime is 4921210313. The next prime is 4921210369. The reversal of 4921210368 is 8630121294.

4921210368 is a `hidden beast` number, since 492 + 1 + 2 + 103 + 68 = 666.

It is a super-2 number, since 2×49212103682 = 48436622972221390848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4921210369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59448 + ... + 115656.

It is an arithmetic number, because the mean of its divisors is an integer number (124589465).

Almost surely, 24921210368 is an apocalyptic number.

4921210368 is a gapful number since it is divisible by the number (48) 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 4921210368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7475367900).

4921210368 is an abundant number, since it is smaller than the sum of its proper divisors (10029525432).

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

4921210368 is a wasteful number, since it uses less digits than its factorization.

4921210368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56252 (or 56233 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4921210368 is about 70151.3390321240. The cubic root of 4921210368 is about 1700.9464588987.

The spelling of 4921210368 in words is "four billion, nine hundred twenty-one million, two hundred ten thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1152 1216 1368 1536 1824 2304 2432 2736 3648 4608 4864 5472 7296 9728 10944 14592 21888 29184 43776 56209 87552 112418 168627 224836 337254 449672 505881 674508 899344 1011762 1067971 1349016 1798688 2023524 2135942 2698032 3203913 3597376 4047048 4271884 5396064 6407826 7194752 8094096 8543768 9611739 10792128 12815652 14389504 16188192 17087536 19223478 21584256 25631304 28779008 32376384 34175072 38446956 43168512 51262608 64752768 68350144 76893912 86337024 102525216 129505536 136700288 153787824 205050432 259011072 273400576 307575648 410100864 546801152 615151296 820201728 1230302592 1640403456 2460605184 4921210368