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7149936780 = 22325720872719
BaseRepresentation
bin1101010100010101…
…10110000010001100
3200110021212102101100
412222022312002030
5104120340434110
63141251543100
7342116313510
oct65212660214
920407772340
107149936780
113039a53368
1214765baa90
1389c3b212c
144bb82a140
152bca84bc0
hex1aa2b608c

7149936780 has 144 divisors (see below), whose sum is σ = 24807444480. Its totient is φ = 1632887424.

The previous prime is 7149936779. The next prime is 7149936803. The reversal of 7149936780 is 876399417.

It is a happy number.

7149936780 is a `hidden beast` number, since 71 + 499 + 3 + 6 + 7 + 80 = 666.

It is a super-2 number, since 2×71499367802 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2628261 + ... + 2630979.

It is an arithmetic number, because the mean of its divisors is an integer number (172273920).

Almost surely, 27149936780 is an apocalyptic number.

7149936780 is a gapful number since it is divisible by the number (70) 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 7149936780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12403722240).

7149936780 is an abundant number, since it is smaller than the sum of its proper divisors (17657507700).

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

7149936780 is a wasteful number, since it uses less digits than its factorization.

7149936780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4828 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 7149936780 is about 84557.2987979157. The cubic root of 7149936780 is about 1926.4928459276.

The spelling of 7149936780 in words is "seven billion, one hundred forty-nine million, nine hundred thirty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2087 2719 4174 5438 6261 8157 8348 10435 10876 12522 13595 14609 16314 18783 19033 20870 24471 25044 27190 29218 31305 32628 37566 38066 40785 41740 43827 48942 54380 57099 58436 62610 73045 75132 76132 81570 87654 93915 95165 97884 114198 122355 125220 131481 146090 163140 171297 175308 187830 190330 219135 228396 244710 262962 285495 292180 342594 375660 380660 438270 489420 525924 570990 657405 685188 856485 876540 1141980 1314810 1712970 2629620 3425940 5674553 11349106 17023659 22698212 28372765 34047318 39721871 51070977 56745530 68094636 79443742 85118295 102141954 113491060 119165613 158887484 170236590 198609355 204283908 238331226 255354885 340473180 357496839 397218710 476662452 510709770 595828065 714993678 794437420 1021419540 1191656130 1429987356 1787484195 2383312260 3574968390 7149936780