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63273213342 = 2351753144497
BaseRepresentation
bin111010111011011000…
…001001110110011110
320001022121201021100000
4322323120021312132
52014040420311332
645022312315130
74366653303513
oct727330116636
9201277637300
1063273213342
112491a096759
121031a0a2aa6
135c74921011
1430c349930a
1519a4cb3b7c
hexebb609d9e

63273213342 has 96 divisors (see below), whose sum is σ = 153373645152. Its totient is φ = 19475748864.

The previous prime is 63273213319. The next prime is 63273213379. The reversal of 63273213342 is 24331237236.

63273213342 is a `hidden beast` number, since 6 + 32 + 73 + 213 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 63273213297 and 63273213306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365638 + ... + 510134.

It is an arithmetic number, because the mean of its divisors is an integer number (1597642137).

Almost surely, 263273213342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63273213342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76686822576).

63273213342 is an abundant number, since it is smaller than the sum of its proper divisors (90100431810).

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

63273213342 is a wasteful number, since it uses less digits than its factorization.

63273213342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144584 (or 144572 counting only the distinct ones).

The product of its digits is 108864, while the sum is 36.

The spelling of 63273213342 in words is "sixty-three billion, two hundred seventy-three million, two hundred thirteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 53 54 81 102 106 153 159 162 243 306 318 459 477 486 901 918 954 1377 1431 1802 2703 2754 2862 4131 4293 5406 8109 8262 8586 12879 16218 24327 25758 48654 72981 144497 145962 218943 288994 433491 437886 866982 1300473 2456449 2600946 3901419 4912898 7369347 7658341 7802838 11704257 14738694 15316682 22108041 22975023 23408514 35112771 44216082 45950046 66324123 68925069 70225542 130191797 132648246 137850138 198972369 206775207 260383594 390575391 397944738 413550414 596917107 620325621 781150782 1171726173 1193834214 1240651242 1860976863 2343452346 3515178519 3721953726 7030357038 10545535557 21091071114 31636606671 63273213342