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641420862120 = 233252816340657
BaseRepresentation
bin10010101010101111010…
…10011010001010101000
32021022121201111212101200
421111113222122022220
541002112220041440
61210355323044200
764225002240663
oct11252752321250
92238551455350
10641420862120
1122803039a355
12a438a670660
13486411b418c
142308b4346da
1511a4146ac30
hex9557a9a2a8

641420862120 has 96 divisors (see below), whose sum is σ = 2092036700520. Its totient is φ = 170436833280.

The previous prime is 641420862097. The next prime is 641420862151. The reversal of 641420862120 is 21268024146.

641420862120 is a `hidden beast` number, since 6 + 4 + 1 + 4 + 2 + 0 + 8 + 621 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 618843395556 + 22577466564 = 786666^2 + 150258^2 .

It is a super-2 number, since 2×6414208621202 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3069169 + ... + 3271488.

Almost surely, 2641420862120 is an apocalyptic number.

641420862120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

641420862120 is an abundant number, since it is smaller than the sum of its proper divisors (1450615838400).

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

641420862120 is a wasteful number, since it uses less digits than its factorization.

641420862120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6340955 (or 6340948 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 641420862120 its reverse (21268024146), we get a palindrome (662688886266).

The spelling of 641420862120 in words is "six hundred forty-one billion, four hundred twenty million, eight hundred sixty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 281 360 562 843 1124 1405 1686 2248 2529 2810 3372 4215 5058 5620 6744 8430 10116 11240 12645 16860 20232 25290 33720 50580 101160 6340657 12681314 19021971 25362628 31703285 38043942 50725256 57065913 63406570 76087884 95109855 114131826 126813140 152175768 190219710 228263652 253626280 285329565 380439420 456527304 570659130 760878840 1141318260 1781724617 2282636520 3563449234 5345173851 7126898468 8908623085 10690347702 14253796936 16035521553 17817246170 21380695404 26725869255 32071043106 35634492340 42761390808 53451738510 64142086212 71268984680 80177607765 106903477020 128284172424 160355215530 213806954040 320710431060 641420862120