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38263310274150 = 23252136540736799
BaseRepresentation
bin10001011001100110111110…
…00001000100111001100110
312000110221021212211000001100
420230303133001010321212
520003401224412233100
6213213531100140530
711026301332663263
oct1054633701047146
9160427255730040
1038263310274150
1111212419144505
12435b829237746
1318472a384b350
14963d5009226a
154654b3348400
hex22ccdf044e66

38263310274150 has 72 divisors (see below), whose sum is σ = 110708511076800. Its totient is φ = 9418660989120.

The previous prime is 38263310274071. The next prime is 38263310274173. The reversal of 38263310274150 is 5147201336283.

38263310274150 is a `hidden beast` number, since 3 + 8 + 2 + 63 + 310 + 274 + 1 + 5 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 38263310274096 and 38263310274105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3270362550 + ... + 3270374249.

It is an arithmetic number, because the mean of its divisors is an integer number (1537618209400).

Almost surely, 238263310274150 is an apocalyptic number.

38263310274150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38263310274150 is an abundant number, since it is smaller than the sum of its proper divisors (72445200802650).

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

38263310274150 is a wasteful number, since it uses less digits than its factorization.

38263310274150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6540736830 (or 6540736822 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 38263310274150 in words is "thirty-eight trillion, two hundred sixty-three billion, three hundred ten million, two hundred seventy-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 5850 6540736799 13081473598 19622210397 32703683995 39244420794 58866631191 65407367990 85029578387 98111051985 117733262382 163518419975 170059156774 196222103970 255088735161 294333155955 327036839950 425147891935 490555259925 510177470322 588666311910 765266205483 850295783870 981110519850 1275443675805 1471665779775 1530532410966 2125739459675 2550887351610 2943331559550 3826331027415 4251478919350 6377218379025 7652662054830 12754436758050 19131655137075 38263310274150