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54363354640 = 24574713115767
BaseRepresentation
bin110010101000010011…
…101111011000010000
312012022200020112221021
4302220103233120100
51342314004322030
640550231205224
73633113614210
oct625023573020
9165280215837
1054363354640
1121067772a71
12a652216814
135184a4208a
1428ba02a240
15163299097a
hexca84ef610

54363354640 has 160 divisors (see below), whose sum is σ = 148660199424. Its totient is φ = 18101890560.

The previous prime is 54363354589. The next prime is 54363354649. The reversal of 54363354640 is 4645336345.

It is not an unprimeable number, because it can be changed into a prime (54363354649) 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, 3440037 + ... + 3455803.

Almost surely, 254363354640 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 54363354640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74330099712).

54363354640 is an abundant number, since it is smaller than the sum of its proper divisors (94296844784).

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

54363354640 is a wasteful number, since it uses less digits than its factorization.

54363354640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15965 (or 15959 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 43.

The spelling of 54363354640 in words is "fifty-four billion, three hundred sixty-three million, three hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 131 140 188 235 262 280 329 376 470 524 560 655 658 752 917 940 1048 1310 1316 1645 1834 1880 2096 2620 2632 3290 3668 3760 4585 5240 5264 6157 6580 7336 9170 10480 12314 13160 14672 15767 18340 24628 26320 30785 31534 36680 43099 49256 61570 63068 73360 78835 86198 98512 110369 123140 126136 157670 172396 215495 220738 246280 252272 315340 344792 430990 441476 492560 551845 630680 689584 741049 861980 882952 1103690 1261360 1482098 1723960 1765904 2065477 2207380 2964196 3447920 3705245 4130954 4414760 5187343 5928392 7410490 8261908 8829520 10327385 10374686 11856784 14458339 14820980 16523816 20654770 20749372 25936715 28916678 29641960 33047632 41309540 41498744 51873430 57833356 59283920 72291695 82619080 82997488 97077419 103746860 115666712 144583390 165238160 194154838 207493720 231333424 289166780 388309676 414987440 485387095 578333560 679541933 776619352 970774190 1156667120 1359083866 1553238704 1941548380 2718167732 3397709665 3883096760 5436335464 6795419330 7766193520 10872670928 13590838660 27181677320 54363354640