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19070405952 = 2631369111057
BaseRepresentation
bin10001110000101011…
…110100110101000000
31211020001022222221120
4101300223310311000
5303024010442302
612432200552240
71243403530113
oct216053646500
954201288846
1019070405952
1180a6824284
123842782680
131a4bc1bca0
14ccca6457a
157693459bc
hex470af4d40

19070405952 has 112 divisors (see below), whose sum is σ = 54421991232. Its totient is φ = 5858795520.

The previous prime is 19070405947. The next prime is 19070406007. The reversal of 19070405952 is 25950407091.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1719208 + ... + 1730264.

It is an arithmetic number, because the mean of its divisors is an integer number (485910636).

Almost surely, 219070405952 is an apocalyptic number.

19070405952 is a gapful number since it is divisible by the number (12) 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 19070405952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27210995616).

19070405952 is an abundant number, since it is smaller than the sum of its proper divisors (35351585280).

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

19070405952 is a wasteful number, since it uses less digits than its factorization.

19070405952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11776 (or 11766 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 19070405952 in words is "nineteen billion, seventy million, four hundred five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 691 832 1248 1382 2073 2496 2764 4146 5528 8292 8983 11056 11057 16584 17966 22112 22114 26949 33168 33171 35932 44224 44228 53898 66336 66342 71864 88456 107796 132672 132684 143728 143741 176912 215592 265368 287456 287482 353824 431184 431223 530736 574912 574964 707648 862368 862446 1061472 1149928 1724736 1724892 2122944 2299856 3449784 4599712 6899568 7640387 9199424 13799136 15280774 22921161 27598272 30561548 45842322 61123096 91684644 99325031 122246192 183369288 198650062 244492384 297975093 366738576 397300124 488984768 595950186 733477152 794600248 1191900372 1466954304 1589200496 2383800744 3178400992 4767601488 6356801984 9535202976 19070405952