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19891521440 = 2557129113757
BaseRepresentation
bin10010100001101000…
…001000011110100000
31220100021101222122022
4102201220020132200
5311214212141230
613045452201012
71302634066610
oct224150103640
956307358568
1019891521440
11848827751a
123a31769168
131b50085c3b
14d69b28a40
157b648e1e5
hex4a1a087a0

19891521440 has 96 divisors (see below), whose sum is σ = 53752616064. Its totient is φ = 6814172160.

The previous prime is 19891521437. The next prime is 19891521451. The reversal of 19891521440 is 4412519891.

It is a junction number, because it is equal to n+sod(n) for n = 19891521391 and 19891521400.

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, 1439042 + ... + 1452798.

It is an arithmetic number, because the mean of its divisors is an integer number (559923084).

Almost surely, 219891521440 is an apocalyptic number.

19891521440 is a gapful number since it is divisible by the number (10) 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 19891521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26876308032).

19891521440 is an abundant number, since it is smaller than the sum of its proper divisors (33861094624).

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

19891521440 is a wasteful number, since it uses less digits than its factorization.

19891521440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15070 (or 15062 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 44.

The spelling of 19891521440 in words is "nineteen billion, eight hundred ninety-one million, five hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1291 2582 5164 6455 9037 10328 12910 13757 18074 20656 25820 27514 36148 41312 45185 51640 55028 68785 72296 90370 96299 103280 110056 137570 144592 180740 192598 206560 220112 275140 289184 361480 385196 440224 481495 550280 722960 770392 962990 1100560 1445920 1540784 1925980 2201120 3081568 3851960 7703920 15407840 17760287 35520574 71041148 88801435 124322009 142082296 177602870 248644018 284164592 355205740 497288036 568329184 621610045 710411480 994576072 1243220090 1420822960 1989152144 2486440180 2841645920 3978304288 4972880360 9945760720 19891521440