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19811125504 = 281924632
BaseRepresentation
bin10010011100110101…
…011100100100000000
31220010200010110011001
4102130311130210000
5311033122004004
613033501101344
71300636534252
oct223465344400
956120113131
1019811125504
1184469558a5
123a0a857854
131b39517591
14d5d19bcd2
157ae3ad1a4
hex49cd5c900

19811125504 has 81 divisors (see below), whose sum is σ = 41826051603. Its totient is φ = 9363949056.

The previous prime is 19811125493. The next prime is 19811125517. The reversal of 19811125504 is 40552111891.

It is a happy number.

The square root of 19811125504 is 140752.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42788377 + ... + 42788839.

Almost surely, 219811125504 is an apocalyptic number.

19811125504 is the 140752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19811125504

19811125504 is an abundant number, since it is smaller than the sum of its proper divisors (22014926099).

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

19811125504 is an frugal number, since it uses more digits than its factorization.

19811125504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 37.

Multiplying 19811125504 by its product of nonzero digits (14400), we get a square (285280207257600 = 168902402).

The spelling of 19811125504 in words is "nineteen billion, eight hundred eleven million, one hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 463 608 722 926 1216 1444 1852 2432 2888 3704 4864 5776 7408 8797 11552 14816 17594 23104 29632 35188 46208 59264 70376 92416 118528 140752 167143 214369 281504 334286 428738 563008 668572 857476 1126016 1337144 1714952 2252032 2674288 3429904 4073011 5348576 6859808 8146022 10697152 13719616 16292044 21394304 27439232 32584088 42788608 54878464 65168176 77387209 130336352 154774418 260672704 309548836 521345408 619097672 1042690816 1238195344 2476390688 4952781376 9905562752 19811125504