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4993791432 = 2337193742283
BaseRepresentation
bin1001010011010011…
…10011010111001000
3110220000200220000020
410221221303113020
540211402311212
62143310140440
7234515345460
oct45151632710
913800626006
104993791432
112132957463
12b744b1720
13617796996
14355326ba0
151e362bd8c
hex129a735c8

4993791432 has 128 divisors (see below), whose sum is σ = 15425203200. Its totient is φ = 1315139328.

The previous prime is 4993791427. The next prime is 4993791437. The reversal of 4993791432 is 2341973994.

It is an interprime number because it is at equal distance from previous prime (4993791427) and next prime (4993791437).

It is a super-2 number, since 2×49937914322 = 49875905732633221248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4993791437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96963 + ... + 139245.

It is an arithmetic number, because the mean of its divisors is an integer number (120509400).

Almost surely, 24993791432 is an apocalyptic number.

4993791432 is a gapful number since it is divisible by the number (42) 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 4993791432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7712601600).

4993791432 is an abundant number, since it is smaller than the sum of its proper divisors (10431411768).

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

4993791432 is a wasteful number, since it uses less digits than its factorization.

4993791432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42355 (or 42351 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The square root of 4993791432 is about 70666.7632766635. The cubic root of 4993791432 is about 1709.2678867303.

The spelling of 4993791432 in words is "four billion, nine hundred ninety-three million, seven hundred ninety-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 37 38 42 56 57 74 76 84 111 114 133 148 152 168 222 228 259 266 296 399 444 456 518 532 703 777 798 888 1036 1064 1406 1554 1596 2072 2109 2812 3108 3192 4218 4921 5624 6216 8436 9842 14763 16872 19684 29526 39368 42283 59052 84566 118104 126849 169132 253698 295981 338264 507396 591962 803377 887943 1014792 1183924 1564471 1606754 1775886 2367848 2410131 3128942 3213508 3551772 4693413 4820262 5623639 6257884 6427016 7103544 9386826 9640524 10951297 11247278 12515768 16870917 18773652 19281048 21902594 22494556 29724949 32853891 33741834 37547304 43805188 44989112 59449898 65707782 67483668 87610376 89174847 118899796 131415564 134967336 178349694 208074643 237799592 262831128 356699388 416149286 624223929 713398776 832298572 1248447858 1664597144 2496895716 4993791432