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42622342464 = 2631356930011
BaseRepresentation
bin100111101100011111…
…010101010101000000
311002000102110100002110
4213230133111111000
51144242304424324
631325212415320
73036135635052
oct475437252500
9132012410073
1042622342464
1117092223819
128316177540
134033448bb0
1420c49878d2
151196d2c329
hex9ec7d5540

42622342464 has 112 divisors (see below), whose sum is σ = 121663846080. Its totient is φ = 13091082240.

The previous prime is 42622342459. The next prime is 42622342541. The reversal of 42622342464 is 46424322624.

42622342464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×426223424643 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1405219 + ... + 1435229.

It is an arithmetic number, because the mean of its divisors is an integer number (1086284340).

Almost surely, 242622342464 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 42622342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60831923040).

42622342464 is an abundant number, since it is smaller than the sum of its proper divisors (79041503616).

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

42622342464 is a wasteful number, since it uses less digits than its factorization.

42622342464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30608 (or 30598 counting only the distinct ones).

The product of its digits is 442368, while the sum is 39.

The spelling of 42622342464 in words is "forty-two billion, six hundred twenty-two million, three hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 569 624 832 1138 1248 1707 2276 2496 3414 4552 6828 7397 9104 13656 14794 18208 22191 27312 29588 30011 36416 44382 54624 59176 60022 88764 90033 109248 118352 120044 177528 180066 236704 240088 355056 360132 390143 473408 480176 710112 720264 780286 960352 1170429 1420224 1440528 1560572 1920704 2340858 2881056 3121144 4681716 5762112 6242288 9363432 12484576 17076259 18726864 24969152 34152518 37453728 51228777 68305036 74907456 102457554 136610072 204915108 221991367 273220144 409830216 443982734 546440288 665974101 819660432 887965468 1092880576 1331948202 1639320864 1775930936 2663896404 3278641728 3551861872 5327792808 7103723744 10655585616 14207447488 21311171232 42622342464