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27054329900 = 225213197115427
BaseRepresentation
bin11001001100100100…
…000101000000101100
32120211110111100122112
4121030210011000230
5420401402024100
620232324103152
71645301003243
oct311444050054
976743440575
1027054329900
1110523511534
1252b0534ab8
132722023a40
14144914595a
15a85217b35
hex64c90502c

27054329900 has 144 divisors (see below), whose sum is σ = 67493180160. Its totient is φ = 9329644800.

The previous prime is 27054329893. The next prime is 27054329917. The reversal of 27054329900 is 992345072.

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, 1745987 + ... + 1761413.

It is an arithmetic number, because the mean of its divisors is an integer number (468702640).

Almost surely, 227054329900 is an apocalyptic number.

27054329900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27054329900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33746590080).

27054329900 is an abundant number, since it is smaller than the sum of its proper divisors (40438850260).

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

27054329900 is a wasteful number, since it uses less digits than its factorization.

27054329900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15544 (or 15537 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The spelling of 27054329900 in words is "twenty-seven billion, fifty-four million, three hundred twenty-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 71 76 95 100 130 142 190 247 260 284 325 355 380 475 494 650 710 923 950 988 1235 1300 1349 1420 1775 1846 1900 2470 2698 3550 3692 4615 4940 5396 6175 6745 7100 9230 12350 13490 15427 17537 18460 23075 24700 26980 30854 33725 35074 46150 61708 67450 70148 77135 87685 92300 134900 154270 175370 200551 293113 308540 350740 385675 401102 438425 586226 771350 802204 876850 1002755 1095317 1172452 1465565 1542700 1753700 2005510 2190634 2931130 3810469 4011020 4381268 5013775 5476585 5862260 7327825 7620938 10027550 10953170 14239121 14655650 15241876 19052345 20055100 20811023 21906340 27382925 28478242 29311300 38104690 41622046 54765850 56956484 71195605 76209380 83244092 95261725 104055115 109531700 142391210 190523450 208110230 270543299 284782420 355978025 381046900 416220460 520275575 541086598 711956050 1040551150 1082173196 1352716495 1423912100 2081102300 2705432990 5410865980 6763582475 13527164950 27054329900