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54505005360 = 24351331755109
BaseRepresentation
bin110010110000110000…
…000110000100110000
312012200112210011012020
4302300300012010300
51343111240132420
641012251231440
73636453621111
oct626060060460
9165615704166
1054505005360
112112a722283
12a691748580
1351a81a9880
1428d0b80208
151640121340
hexcb0c06130

54505005360 has 160 divisors (see below), whose sum is σ = 182540191680. Its totient is φ = 13374050304.

The previous prime is 54505005353. The next prime is 54505005403. The reversal of 54505005360 is 6350050545.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 961486 + ... + 1016594.

It is an arithmetic number, because the mean of its divisors is an integer number (1140876198).

Almost surely, 254505005360 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 54505005360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91270095840).

54505005360 is an abundant number, since it is smaller than the sum of its proper divisors (128035186320).

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

54505005360 is a wasteful number, since it uses less digits than its factorization.

54505005360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55455 (or 55449 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The spelling of 54505005360 in words is "fifty-four billion, five hundred five million, five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 317 390 520 624 634 780 951 1040 1268 1560 1585 1902 2536 3120 3170 3804 4121 4755 5072 6340 7608 8242 9510 12363 12680 15216 16484 19020 20605 24726 25360 32968 38040 41210 49452 55109 61815 65936 76080 82420 98904 110218 123630 164840 165327 197808 220436 247260 275545 329680 330654 440872 494520 551090 661308 716417 826635 881744 989040 1102180 1322616 1432834 1653270 2149251 2204360 2645232 2865668 3306540 3582085 4298502 4408720 5731336 6613080 7164170 8597004 10746255 11462672 13226160 14328340 17194008 17469553 21492510 28656680 34388016 34939106 42985020 52408659 57313360 69878212 85970040 87347765 104817318 139756424 171940080 174695530 209634636 227104189 262043295 279512848 349391060 419269272 454208378 524086590 681312567 698782120 838538544 908416756 1048173180 1135520945 1362625134 1397564240 1816833512 2096346360 2271041890 2725250268 3406562835 3633667024 4192692720 4542083780 5450500536 6813125670 9084167560 10901001072 13626251340 18168335120 27252502680 54505005360