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19947978752 = 2171323509
BaseRepresentation
bin10010100100111111…
…100000000000000000
31220111012122022111212
4102210333200000000
5311323140310002
613055230225252
71304221010312
oct224477400000
956435568455
1019947978752
118507128759
123a48655228
131b5b992530
14d734237b2
157bb3e2352
hex4a4fe0000

19947978752 has 144 divisors (see below), whose sum is σ = 44920824480. Its totient is φ = 8789164032.

The previous prime is 19947978751. The next prime is 19947978781. The reversal of 19947978752 is 25787974991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19947978751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39190274 + ... + 39190782.

It is an arithmetic number, because the mean of its divisors is an integer number (311950170).

Almost surely, 219947978752 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 19947978752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22460412240).

19947978752 is an abundant number, since it is smaller than the sum of its proper divisors (24972845728).

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

19947978752 is an frugal number, since it uses more digits than its factorization.

19947978752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 547 counting only the distinct ones).

The product of its digits is 80015040, while the sum is 68.

The spelling of 19947978752 in words is "nineteen billion, nine hundred forty-seven million, nine hundred seventy-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 256 299 368 416 509 512 598 736 832 1018 1024 1196 1472 1664 2036 2048 2392 2944 3328 4072 4096 4784 5888 6617 6656 8144 8192 9568 11707 11776 13234 13312 16288 16384 19136 23414 23552 26468 26624 32576 32768 38272 46828 47104 52936 53248 65152 65536 76544 93656 94208 105872 106496 130304 131072 152191 153088 187312 188416 211744 212992 260608 304382 306176 374624 376832 423488 425984 521216 608764 612352 749248 753664 846976 851968 1042432 1217528 1224704 1498496 1507328 1693952 1703936 2084864 2435056 2449408 2996992 3014656 3387904 4169728 4870112 4898816 5993984 6775808 8339456 9740224 9797632 11987968 13551616 16678912 19480448 19595264 23975936 27103232 33357824 38960896 39190528 47951872 54206464 66715648 77921792 95903744 108412928 155843584 191807488 216825856 311687168 383614976 433651712 623374336 767229952 867303424 1246748672 1534459904 2493497344 4986994688 9973989376 19947978752