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7138719016 = 23111317593619
BaseRepresentation
bin1101010011000000…
…00011010100101000
3200102111202111111121
412221200003110220
5104110003002031
63140211305024
7341622052612
oct65140032450
920374674447
107138719016
113033691290
1214728ab174
13899c851c0
144ba149db2
152bbabb011
hex1a9803528

7138719016 has 128 divisors (see below), whose sum is σ = 16705180800. Its totient is φ = 2809774080.

The previous prime is 7138719013. The next prime is 7138719019. The reversal of 7138719016 is 6109178317.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7138719013) and next prime (7138719019).

It is a super-2 number, since 2×71387190162 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7138719013) 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, 11532355 + ... + 11532973.

It is an arithmetic number, because the mean of its divisors is an integer number (130509225).

Almost surely, 27138719016 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 7138719016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8352590400).

7138719016 is an abundant number, since it is smaller than the sum of its proper divisors (9566461784).

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

7138719016 is a wasteful number, since it uses less digits than its factorization.

7138719016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 43.

The square root of 7138719016 is about 84490.9404374220. The cubic root of 7138719016 is about 1925.4848065257.

The spelling of 7138719016 in words is "seven billion, one hundred thirty-eight million, seven hundred nineteen thousand, sixteen".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 136 143 187 221 286 374 442 572 593 619 748 884 1144 1186 1238 1496 1768 2372 2431 2476 4744 4862 4952 6523 6809 7709 8047 9724 10081 10523 13046 13618 15418 16094 19448 20162 21046 26092 27236 30836 32188 40324 42092 52184 54472 61672 64376 80648 84184 84799 88517 110891 115753 131053 136799 169598 177034 221782 231506 262106 273598 339196 354068 367067 443564 463012 524212 547196 678392 708136 734134 887128 926024 1048424 1094392 1441583 1468268 1504789 2883166 2936536 3009578 4037737 4771871 5766332 6019156 6240139 8075474 9543742 11532664 12038312 12480278 16150948 19087484 24960556 32301896 38174968 49921112 52490581 68641529 81121807 104981162 137283058 162243614 209962324 274566116 324487228 419924648 549132232 648974456 892339877 1784679754 3569359508 7138719016