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53344451448 = 23332313977249
BaseRepresentation
bin110001101011100100…
…111011101101111000
312002200122222220112000
4301223210323231320
51333222134421243
640301152421000
73565632233031
oct615344735570
9162618886460
1053344451448
1120694608a12
12a408b47760
135051916a92
14282099ba88
1515c32c85d3
hexc6b93bb78

53344451448 has 128 divisors (see below), whose sum is σ = 155736000000. Its totient is φ = 16885794816.

The previous prime is 53344451441. The next prime is 53344451519. The reversal of 53344451448 is 84415444335.

53344451448 is a `hidden beast` number, since 53 + 3 + 4 + 44 + 514 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53344451441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651928 + ... + 729176.

It is an arithmetic number, because the mean of its divisors is an integer number (1216687500).

Almost surely, 253344451448 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 53344451448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77868000000).

53344451448 is an abundant number, since it is smaller than the sum of its proper divisors (102391548552).

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

53344451448 is a wasteful number, since it uses less digits than its factorization.

53344451448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77426 (or 77416 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 45.

The spelling of 53344451448 in words is "fifty-three billion, three hundred forty-four million, four hundred fifty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 139 184 207 216 276 278 414 417 552 556 621 828 834 1112 1242 1251 1656 1668 2484 2502 3197 3336 3753 4968 5004 6394 7506 9591 10008 12788 15012 19182 25576 28773 30024 38364 57546 76728 77249 86319 115092 154498 172638 230184 231747 308996 345276 463494 617992 690552 695241 926988 1390482 1776727 1853976 2085723 2780964 3553454 4171446 5330181 5561928 7106908 8342892 10660362 10737611 14213816 15990543 16685784 21320724 21475222 31981086 32212833 42641448 42950444 47971629 63962172 64425666 85900888 95943258 96638499 127924344 128851332 191886516 193276998 246965053 257702664 289915497 383773032 386553996 493930106 579830994 740895159 773107992 987860212 1159661988 1481790318 1975720424 2222685477 2319323976 2963580636 4445370954 5927161272 6668056431 8890741908 13336112862 17781483816 26672225724 53344451448