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542432656320 = 26351129500473
BaseRepresentation
bin1111110010010111000…
…00010111101111000000
31220212010001201222212020
413321023200113233000
532341400230000240
61053105022201440
754121662334542
oct7711340275700
91825101658766
10542432656320
1119a054103205
1289163723280
133c1c71b1039
141c37a911692
15e19ae920d0
hex7e4b817bc0

542432656320 has 112 divisors (see below), whose sum is σ = 1723752569760. Its totient is φ = 144520298496.

The previous prime is 542432656303. The next prime is 542432656327. The reversal of 542432656320 is 23656234245.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542432656327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 833604 + ... + 1334076.

Almost surely, 2542432656320 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 542432656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861876284880).

542432656320 is an abundant number, since it is smaller than the sum of its proper divisors (1181319913440).

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

542432656320 is a wasteful number, since it uses less digits than its factorization.

542432656320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501622 (or 501612 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 542432656320 in words is "five hundred forty-two billion, four hundred thirty-two million, six hundred fifty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1129 2258 3387 4516 5645 6774 9032 11290 13548 16935 18064 22580 27096 33870 36128 45160 54192 67740 72256 90320 108384 135480 180640 216768 270960 361280 500473 541920 1000946 1083840 1501419 2001892 2502365 3002838 4003784 5004730 6005676 7507095 8007568 10009460 12011352 15014190 16015136 20018920 24022704 30028380 32030272 40037840 48045408 60056760 80075680 96090816 120113520 160151360 240227040 480454080 565034017 1130068034 1695102051 2260136068 2825170085 3390204102 4520272136 5650340170 6780408204 8475510255 9040544272 11300680340 13560816408 16951020510 18081088544 22601360680 27121632816 33902041020 36162177088 45202721360 54243265632 67804082040 90405442720 108486531264 135608164080 180810885440 271216328160 542432656320