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1038020713830 = 232517678444911
BaseRepresentation
bin11110001101011101101…
…10110001110101100110
310200020022110002210210100
433012232312301311212
5114001331300320310
62112505442204530
7134665056326142
oct17065666616546
93606273083710
101038020713830
113702496a4a41
12149213053746
1376b67277049
1438351bcc222
151c0045ccec0
hexf1aedb1d66

1038020713830 has 48 divisors (see below), whose sum is σ = 2857609969344. Its totient is φ = 260522845440.

The previous prime is 1038020713823. The next prime is 1038020713837. The reversal of 1038020713830 is 383170208301.

1038020713830 is a `hidden beast` number, since 10 + 380 + 207 + 1 + 38 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (1038020713823) and next prime (1038020713837).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038020713837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339220926 + ... + 339223985.

It is an arithmetic number, because the mean of its divisors is an integer number (59533541028).

Almost surely, 21038020713830 is an apocalyptic number.

1038020713830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1038020713830 is an abundant number, since it is smaller than the sum of its proper divisors (1819589255514).

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

1038020713830 is a wasteful number, since it uses less digits than its factorization.

1038020713830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678444941 (or 678444938 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1038020713830 in words is "one trillion, thirty-eight billion, twenty million, seven hundred thirteen thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 678444911 1356889822 2035334733 3392224555 4070669466 6106004199 6784449110 10176673665 11533563487 12212008398 20353347330 23067126974 30530020995 34600690461 57667817435 61060041990 69201380922 103802071383 115335634870 173003452305 207604142766 346006904610 519010356915 1038020713830