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542511752040 = 233252365520743
BaseRepresentation
bin1111110010100000011…
…10000110001101101000
31220212022120120110210100
413321100032012031220
532342031002031130
61053120525345400
754123642543366
oct7712016061550
91825276513710
10542511752040
1119a094816a75
1289186108260
133c20a6b593b
141c387220636
15e1a2db7c60
hex7e50386368

542511752040 has 96 divisors (see below), whose sum is σ = 1839822491520. Its totient is φ = 138379807104.

The previous prime is 542511752021. The next prime is 542511752047. The reversal of 542511752040 is 40257115245.

542511752040 is a `hidden beast` number, since 5 + 42 + 51 + 1 + 7 + 520 + 40 = 666.

It is a super-2 number, since 2×5425117520402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 542511751986 and 542511752004.

It is not an unprimeable number, because it can be changed into a prime (542511752047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32752092 + ... + 32768651.

It is an arithmetic number, because the mean of its divisors is an integer number (19164817620).

Almost surely, 2542511752040 is an apocalyptic number.

It is an amenable number.

542511752040 is an abundant number, since it is smaller than the sum of its proper divisors (1297310739480).

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

542511752040 is a wasteful number, since it uses less digits than its factorization.

542511752040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65520783 (or 65520776 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

Adding to 542511752040 its reverse (40257115245), we get a palindrome (582768867285).

The spelling of 542511752040 in words is "five hundred forty-two billion, five hundred eleven million, seven hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 65520743 131041486 196562229 262082972 327603715 393124458 524165944 589686687 655207430 786248916 982811145 1179373374 1310414860 1506977089 1572497832 1965622290 2358746748 2620829720 2948433435 3013954178 3931244580 4520931267 4717493496 5896866870 6027908356 7534885445 7862489160 9041862534 11793733740 12055816712 13562793801 15069770890 18083725068 22604656335 23587467480 27125587602 30139541780 36167450136 45209312670 54251175204 60279083560 67813969005 90418625340 108502350408 135627938010 180837250680 271255876020 542511752040