Search a number
-
+
361052000640 = 2733520894213
BaseRepresentation
bin1010100000100000110…
…00000101000110000000
31021111221100001000002000
411100100120011012000
521403413303010030
6433510501224000
735041130240322
oct5202030050600
91244840030060
10361052000640
1112a137494a81
1259b83702000
132807c501b86
14136915db612
1595d2465860
hex5410605180

361052000640 has 128 divisors (see below), whose sum is σ = 1278725896800. Its totient is φ = 96280528896.

The previous prime is 361052000629. The next prime is 361052000671. The reversal of 361052000640 is 46000250163.

361052000640 is a `hidden beast` number, since 3 + 6 + 10 + 5 + 2 + 0 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3610520006402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10429827 + ... + 10464386.

Almost surely, 2361052000640 is an apocalyptic number.

361052000640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361052000640 is an abundant number, since it is smaller than the sum of its proper divisors (917673896160).

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

361052000640 is a wasteful number, since it uses less digits than its factorization.

361052000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20894241 (or 20894223 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 361052000640 in words is "three hundred sixty-one billion, fifty-two million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 20894213 41788426 62682639 83576852 104471065 125365278 167153704 188047917 208942130 250730556 313413195 334307408 376095834 417884260 501461112 564143751 626826390 668614816 752191668 835768520 940239585 1002922224 1128287502 1253652780 1337229632 1504383336 1671537040 1880479170 2005844448 2256575004 2507305560 2674459264 2820718755 3008766672 3343074080 3760958340 4011688896 4513150008 5014611120 5641437510 6017533344 6686148160 7521916680 8023377792 9026300016 10029222240 11282875020 12035066688 13372296320 15043833360 18052600032 20058444480 22565750040 24070133376 30087666720 36105200064 40116888960 45131500080 60175333440 72210400128 90263000160 120350666880 180526000320 361052000640