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1138373717520 = 243513364863371
BaseRepresentation
bin10000100100001100010…
…111000110111000010000
311000211100012222121001210
4100210030113012320100
5122122342132430040
62230543415300120
7145146650642004
oct20441427067020
94024305877053
101138373717520
113a9866316a26
1216475b07a640
138346ac51bc0
143d151a9c704
151e9297e6480
hex1090c5c6e10

1138373717520 has 80 divisors (see below), whose sum is σ = 3800416882752. Its totient is φ = 280215068160.

The previous prime is 1138373717491. The next prime is 1138373717521. The reversal of 1138373717520 is 257173738311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1138373717520.

It is not an unprimeable number, because it can be changed into a prime (1138373717521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182428566 + ... + 182434805.

Almost surely, 21138373717520 is an apocalyptic number.

1138373717520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1138373717520 is an abundant number, since it is smaller than the sum of its proper divisors (2662043165232).

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

1138373717520 is a wasteful number, since it uses less digits than its factorization.

1138373717520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364863400 (or 364863394 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 48.

The spelling of 1138373717520 in words is "one trillion, one hundred thirty-eight billion, three hundred seventy-three million, seven hundred seventeen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 364863371 729726742 1094590113 1459453484 1824316855 2189180226 2918906968 3648633710 4378360452 4743223823 5472950565 5837813936 7297267420 8756720904 9486447646 10945901130 14229671469 14594534840 17513441808 18972895292 21891802260 23716119115 28459342938 29189069680 37945790584 43783604520 47432238230 56918685876 71148357345 75891581168 87567209040 94864476460 113837371752 142296714690 189728952920 227674743504 284593429380 379457905840 569186858760 1138373717520