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5190146704 = 2419294183173
BaseRepresentation
bin1001101010101101…
…10101101010010000
3111101201011202210201
410311112311222100
541112134143304
62215002504544
7242421343021
oct46526655220
914351152721
105190146704
112223780046
12100a205154
13649376032
1437343ac48
152059b63a4
hex1355b5a90

5190146704 has 160 divisors (see below), whose sum is σ = 11418019200. Its totient is φ = 2274693120.

The previous prime is 5190146693. The next prime is 5190146729. The reversal of 5190146704 is 4076410915.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30000762 + ... + 30000934.

It is an arithmetic number, because the mean of its divisors is an integer number (71362620).

Almost surely, 25190146704 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 5190146704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5709009600).

5190146704 is an abundant number, since it is smaller than the sum of its proper divisors (6227872496).

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

5190146704 is a wasteful number, since it uses less digits than its factorization.

5190146704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 5190146704 is about 72042.6727988350. The cubic root of 5190146704 is about 1731.3832482357.

The spelling of 5190146704 in words is "five billion, one hundred ninety million, one hundred forty-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 19 29 38 41 58 76 82 83 116 152 164 166 173 232 304 328 332 346 464 551 656 664 692 779 1102 1189 1328 1384 1558 1577 2204 2378 2407 2768 3116 3154 3287 3403 4408 4756 4814 5017 6232 6308 6574 6806 7093 8816 9512 9628 10034 12464 12616 13148 13612 14186 14359 19024 19256 20068 22591 25232 26296 27224 28372 28718 38512 40136 45182 45733 52592 54448 56744 57436 64657 80272 90364 91466 95323 98687 113488 114872 129314 134767 180728 182932 190646 197374 205697 229744 258628 269534 272821 361456 365864 381292 394748 411394 416411 517256 539068 545642 588719 731728 762584 789496 822788 832822 1034512 1078136 1091284 1177438 1525168 1578992 1645576 1665644 1875053 2156272 2182568 2354876 3291152 3331288 3750106 3908243 4365136 4709752 6662576 7500212 7816486 7911809 9419504 11185661 15000424 15632972 15823618 17072851 22371322 30000848 31265944 31647236 34145702 44742644 62531888 63294472 68291404 89485288 126588944 136582808 178970576 273165616 324384169 648768338 1297536676 2595073352 5190146704