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4969326672 = 24358231553
BaseRepresentation
bin1001010000011000…
…11110100001010000
3110211022122221200000
410220030132201100
540134121423142
62141033530000
7234100402602
oct45014364120
913738587600
104969326672
112120067752
12b68273900
136126ac2ab
14351d99172
151e13e814c
hex12831e850

4969326672 has 120 divisors (see below), whose sum is σ = 14449116864. Its totient is φ = 1653364224.

The previous prime is 4969326667. The next prime is 4969326673. The reversal of 4969326672 is 2766239694.

4969326672 is a `hidden beast` number, since 496 + 93 + 2 + 6 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4969326673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3199048 + ... + 3200600.

Almost surely, 24969326672 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 4969326672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7224558432).

4969326672 is an abundant number, since it is smaller than the sum of its proper divisors (9479790192).

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

4969326672 is a wasteful number, since it uses less digits than its factorization.

4969326672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2381 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 4969326672 is about 70493.4512703130. The cubic root of 4969326672 is about 1706.4720616188.

The spelling of 4969326672 in words is "four billion, nine hundred sixty-nine million, three hundred twenty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 823 972 1296 1553 1646 1944 2469 3106 3292 3888 4659 4938 6212 6584 7407 9318 9876 12424 13168 13977 14814 18636 19752 22221 24848 27954 29628 37272 39504 41931 44442 55908 59256 66663 74544 83862 88884 111816 118512 125793 133326 167724 177768 199989 223632 251586 266652 335448 355536 377379 399978 503172 533304 670896 754758 799956 1006344 1066608 1278119 1509516 1599912 2012688 2556238 3019032 3199824 3834357 5112476 6038064 7668714 10224952 11503071 15337428 20449904 23006142 30674856 34509213 46012284 61349712 69018426 92024568 103527639 138036852 184049136 207055278 276073704 310582917 414110556 552147408 621165834 828221112 1242331668 1656442224 2484663336 4969326672