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11993161501440 = 283557172231453
BaseRepresentation
bin1010111010000110000000…
…1000011000101100000000
31120110112110001020101100000
42232201200020120230000
53032443443321021230
641301325441200000
72345322502514640
oct256414010305400
946415401211300
1011993161501440
1139042a90086a9
121418431630000
1368cc479b1932
142d66876a2520
1515be828a8b60
hexae860218b00

11993161501440 has 1728 divisors, whose sum is σ = 52341775589376. Its totient is φ = 2566704070656.

The previous prime is 11993161501403. The next prime is 11993161501441. The reversal of 11993161501440 is 4410516139911.

11993161501440 is a `hidden beast` number, since 1 + 1 + 9 + 93 + 16 + 1 + 501 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11993161501441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8254067754 + ... + 8254069206.

It is an arithmetic number, because the mean of its divisors is an integer number (30290379392).

Almost surely, 211993161501440 is an apocalyptic number.

11993161501440 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 11993161501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26170887794688).

11993161501440 is an abundant number, since it is smaller than the sum of its proper divisors (40348614087936).

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

11993161501440 is a wasteful number, since it uses less digits than its factorization.

11993161501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 11993161501440 in words is "eleven trillion, nine hundred ninety-three billion, one hundred sixty-one million, five hundred one thousand, four hundred forty".