Search a number
-
+
20719875136 = 261929472
BaseRepresentation
bin10011010011000000…
…000011010001000000
31222111000002201021211
4103103000003101000
5314413242001021
613304002455504
71332313014142
oct232300032100
958430081254
1020719875136
118872913954
124023064594
131c5288565c
141007b54c92
158140673e1
hex4d3003440

20719875136 has 63 divisors (see below), whose sum is σ = 43439767959. Its totient is φ = 9804313728.

The previous prime is 20719875131. The next prime is 20719875157. The reversal of 20719875136 is 63157891702.

It is a happy number.

The square root of 20719875136 is 143944.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20719875136.

It is not an unprimeable number, because it can be changed into a prime (20719875131) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21879015 + ... + 21879961.

Almost surely, 220719875136 is an apocalyptic number.

20719875136 is the 143944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20719875136

20719875136 is an abundant number, since it is smaller than the sum of its proper divisors (22719892823).

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

20719875136 is an frugal number, since it uses more digits than its factorization.

20719875136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 49.

Multiplying 20719875136 by its sum of digits (49), we get a square (1015273881664 = 10076082).

The spelling of 20719875136 in words is "twenty billion, seven hundred nineteen million, eight hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 947 1216 1444 1894 2888 3788 5776 7576 11552 15152 17993 23104 30304 35986 60608 71972 143944 287888 341867 575776 683734 896809 1151552 1367468 1793618 2734936 3587236 5469872 7174472 10939744 14348944 17039371 21879488 28697888 34078742 57395776 68157484 136314968 272629936 323748049 545259872 647496098 1090519744 1294992196 2589984392 5179968784 10359937568 20719875136