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38235400476 = 22371396736209
BaseRepresentation
bin100011100111000000…
…011110100100011100
310122200200122121000120
4203213000132210130
51111301230303401
625322021154540
72522336353530
oct434700364434
9118620577016
1038235400476
1115240983329
1274b0b5ba50
1337b4608630
141bca0abbc0
15edbb22836
hex8e701e91c

38235400476 has 96 divisors (see below), whose sum is σ = 109920814080. Its totient is φ = 10073355264.

The previous prime is 38235400459. The next prime is 38235400499. The reversal of 38235400476 is 67400453283.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1037860 + ... + 1074068.

It is an arithmetic number, because the mean of its divisors is an integer number (1145008480).

Almost surely, 238235400476 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 38235400476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54960407040).

38235400476 is an abundant number, since it is smaller than the sum of its proper divisors (71685413604).

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

38235400476 is a wasteful number, since it uses less digits than its factorization.

38235400476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37203 (or 37201 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 38235400476 in words is "thirty-eight billion, two hundred thirty-five million, four hundred thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 967 1092 1934 2901 3868 5802 6769 11604 12571 13538 20307 25142 27076 36209 37713 40614 50284 72418 75426 81228 87997 108627 144836 150852 175994 217254 253463 263991 351988 434508 470717 506926 527982 760389 941434 1013852 1055964 1412151 1520778 1882868 2824302 3041556 3295019 5648604 6590038 9885057 13180076 19770114 35014103 39540228 70028206 105042309 140056412 210084618 245098721 420169236 455183339 490197442 735296163 910366678 980394884 1365550017 1470592326 1820733356 2731100034 2941184652 3186283373 5462200068 6372566746 9558850119 12745133492 19117700238 38235400476