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11938942428720 = 2435311604696563
BaseRepresentation
bin1010110110111100000001…
…1011000010011000110000
31120021100111102111002222120
42231233000123002120300
53031101423230204340
641220401402234240
72341363060143426
oct255570033023060
946240442432876
1011938942428720
11389330583189a
121409a1b7b5980
13687ab6b18b98
142d3bc28b3116
1515a85c9184d0
hexadbc06c2630

11938942428720 has 80 divisors (see below), whose sum is σ = 38204615795712. Its totient is φ = 3081017399040.

The previous prime is 11938942428713. The next prime is 11938942428727. The reversal of 11938942428720 is 2782424983911.

It is an interprime number because it is at equal distance from previous prime (11938942428713) and next prime (11938942428727).

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

It is a super-2 number, since 2×119389424287202 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) 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 (60).

It is not an unprimeable number, because it can be changed into a prime (11938942428727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802340842 + ... + 802355721.

Almost surely, 211938942428720 is an apocalyptic number.

11938942428720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11938942428720 is an abundant number, since it is smaller than the sum of its proper divisors (26265673366992).

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

11938942428720 is a wasteful number, since it uses less digits than its factorization.

11938942428720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604696610 (or 1604696604 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 11938942428720 in words is "eleven trillion, nine hundred thirty-eight billion, nine hundred forty-two million, four hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 1604696563 3209393126 4814089689 6418786252 8023482815 9628179378 12837572504 16046965630 19256358756 24070448445 25675145008 32093931260 38512717512 48140896890 49745593453 64187862520 77025435024 96281793780 99491186906 128375725040 149236780359 192563587560 198982373812 248727967265 298473560718 385127175120 397964747624 497455934530 596947121436 746183901795 795929495248 994911869060 1193894242872 1492367803590 1989823738120 2387788485744 2984735607180 3979647476240 5969471214360 11938942428720