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652061000400 = 243523071769981
BaseRepresentation
bin10010111110100011101…
…11010100001011010000
32022100002020210220011020
421133101313110023100
541140410104003100
61215315214115440
765052452024205
oct11372167241320
92270066726136
10652061000400
112315a0487767
12a6459aabb80
13496486b19a4
14237ba5cbcac
1511e656245a0
hex97d1dd42d0

652061000400 has 120 divisors (see below), whose sum is σ = 2095573728864. Its totient is φ = 173316441600.

The previous prime is 652061000363. The next prime is 652061000401. The reversal of 652061000400 is 4000160256.

652061000400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652061000401) 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, 516591 + ... + 1253390.

Almost surely, 2652061000400 is an apocalyptic number.

652061000400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

652061000400 is an abundant number, since it is smaller than the sum of its proper divisors (1443512728464).

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

652061000400 is a wasteful number, since it uses less digits than its factorization.

652061000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770309 (or 1770298 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 652061000400 its reverse (4000160256), we get a palindrome (656061160656).

The spelling of 652061000400 in words is "six hundred fifty-two billion, sixty-one million, four hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 307 400 600 614 921 1200 1228 1535 1842 2456 3070 3684 4605 4912 6140 7368 7675 9210 12280 14736 15350 18420 23025 24560 30700 36840 46050 61400 73680 92100 122800 184200 368400 1769981 3539962 5309943 7079924 8849905 10619886 14159848 17699810 21239772 26549715 28319696 35399620 42479544 44249525 53099430 70799240 84959088 88499050 106198860 132748575 141598480 176998100 212397720 265497150 353996200 424795440 530994300 543384167 707992400 1061988600 1086768334 1630152501 2123977200 2173536668 2716920835 3260305002 4347073336 5433841670 6520610004 8150762505 8694146672 10867683340 13041220008 13584604175 16301525010 21735366680 26082440016 27169208350 32603050020 40753812525 43470733360 54338416700 65206100040 81507625050 108676833400 130412200080 163015250100 217353666800 326030500200 652061000400