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20311380880 = 2457374720857
BaseRepresentation
bin10010111010101001…
…110001001110010000
31221102112110001111221
4102322221301032100
5313044203142010
613155251214424
71316222613610
oct227251611620
957375401457
1020311380880
11868327709a
123b2a2a7414
131bb905b98b
14da97bca40
157dd276dda
hex4baa71390

20311380880 has 160 divisors (see below), whose sum is σ = 56610948096. Its totient is φ = 6631206912.

The previous prime is 20311380871. The next prime is 20311380883. The reversal of 20311380880 is 8808311302.

It is not an unprimeable number, because it can be changed into a prime (20311380883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 963412 + ... + 984268.

Almost surely, 220311380880 is an apocalyptic number.

20311380880 is a gapful number since it is divisible by the number (20) 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 20311380880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28305474048).

20311380880 is an abundant number, since it is smaller than the sum of its proper divisors (36299567216).

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

20311380880 is a wasteful number, since it uses less digits than its factorization.

20311380880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20961 (or 20955 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 20311380880 in words is "twenty billion, three hundred eleven million, three hundred eighty thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 47 56 70 74 80 94 112 140 148 185 188 235 259 280 296 329 370 376 470 518 560 592 658 740 752 940 1036 1295 1316 1480 1645 1739 1880 2072 2590 2632 2960 3290 3478 3760 4144 5180 5264 6580 6956 8695 10360 12173 13160 13912 17390 20720 20857 24346 26320 27824 34780 41714 48692 60865 69560 83428 97384 104285 121730 139120 145999 166856 194768 208570 243460 291998 333712 417140 486920 583996 729995 771709 834280 973840 980279 1167992 1459990 1543418 1668560 1960558 2335984 2919980 3086836 3858545 3921116 4901395 5401963 5839960 6173672 6861953 7717090 7842232 9802790 10803926 11679920 12347344 13723906 15434180 15684464 19605580 21607852 27009815 27447812 30868360 34309765 36270323 39211160 43215704 54019630 54895624 61736720 68619530 72540646 78422320 86431408 108039260 109791248 137239060 145081292 181351615 216078520 253892261 274478120 290162584 362703230 432157040 507784522 548956240 580325168 725406460 1015569044 1269461305 1450812920 2031138088 2538922610 2901625840 4062276176 5077845220 10155690440 20311380880