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1131669761096 = 23797452346061
BaseRepresentation
bin10000011101111100110…
…001100010110001001000
311000012001000022022201102
4100131330301202301020
5122020124424323341
62223514254240532
7144521555153360
oct20357461426110
94005030268642
101131669761096
113a6a36094276
121633a9ab6148
138294008cc94
143cab75a59a0
151e685ea8c9b
hex1077cc62c48

1131669761096 has 64 divisors (see below), whose sum is σ = 2450601578880. Its totient is φ = 479884769280.

The previous prime is 1131669761071. The next prime is 1131669761107. The reversal of 1131669761096 is 6901679661311.

It is a happy number.

It is a hoax number, since the sum of its digits (56) 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 (56).

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, 24545906 + ... + 24591966.

It is an arithmetic number, because the mean of its divisors is an integer number (38290649670).

Almost surely, 21131669761096 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 1131669761096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225300789440).

1131669761096 is an abundant number, since it is smaller than the sum of its proper divisors (1318931817784).

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

1131669761096 is a wasteful number, since it uses less digits than its factorization.

1131669761096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50694 (or 50690 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 56.

The spelling of 1131669761096 in words is "one trillion, one hundred thirty-one billion, six hundred sixty-nine million, seven hundred sixty-one thousand, ninety-six".

Divisors: 1 2 4 7 8 14 28 56 97 194 388 679 776 1358 2716 4523 5432 9046 18092 31661 36184 46061 63322 92122 126644 184244 253288 322427 368488 438731 644854 877462 1289708 1754924 2579416 3071117 3509848 4467917 6142234 8935834 12284468 17871668 24568936 31275419 35743336 62550838 125101676 208333903 250203352 416667806 833335612 1458337321 1666671224 2916674642 5833349284 11666698568 20208388591 40416777182 80833554364 141458720137 161667108728 282917440274 565834880548 1131669761096