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54829010992 = 247397127811
BaseRepresentation
bin110011000100000100…
…000101000000110000
312020112010110100100211
4303010010011000300
51344242211322432
641104343553504
73650466622000
oct630404050060
9166463410324
1054829010992
1121286602528
12a76215b894
13522a361092
142921c02000
15165d7c2d47
hexcc4105030

54829010992 has 160 divisors (see below), whose sum is σ = 126303027200. Its totient is φ = 23044331520.

The previous prime is 54829010981. The next prime is 54829010993. The reversal of 54829010992 is 29901092845.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (54829010993) 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, 67606267 + ... + 67607077.

It is an arithmetic number, because the mean of its divisors is an integer number (789393920).

Almost surely, 254829010992 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 54829010992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63151513600).

54829010992 is an abundant number, since it is smaller than the sum of its proper divisors (71474016208).

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

54829010992 is a wasteful number, since it uses less digits than its factorization.

54829010992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

The spelling of 54829010992 in words is "fifty-four billion, eight hundred twenty-nine million, ten thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 97 98 112 127 194 196 254 343 388 392 508 679 686 776 784 811 889 1016 1358 1372 1552 1622 1778 2032 2716 2744 3244 3556 4753 5432 5488 5677 6223 6488 7112 9506 10864 11354 12319 12446 12976 14224 19012 22708 24638 24892 33271 38024 39739 43561 45416 49276 49784 66542 76048 78667 79478 86233 87122 90832 98552 99568 102997 133084 157334 158956 172466 174244 197104 205994 266168 278173 314668 317912 344932 348488 411988 532336 550669 556346 603631 629336 635824 689864 696976 720979 823976 1101338 1112692 1207262 1258672 1379728 1441958 1647952 2202676 2225384 2414524 2883916 3854683 4225417 4405352 4450768 4829048 5046853 5767832 7709366 8450834 8810704 9658096 9990709 10093706 11535664 15418732 16901668 19981418 20187412 26982781 30837464 33803336 35327971 39962836 40374824 53965562 61674928 67606672 69934963 70655942 79925672 80749648 107931124 139869926 141311884 159851344 215862248 279739852 282623768 431724496 489544741 559479704 565247536 979089482 1118959408 1958178964 3426813187 3916357928 6853626374 7832715856 13707252748 27414505496 54829010992