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10060610070 = 23571372411451
BaseRepresentation
bin10010101111010100…
…01011101000010110
3221222010210221111210
421113222023220112
5131101004010240
64342145442250
7504211526460
oct112752135026
927863727453
1010060610070
1142a2a52285
121b49340386
13c4441c014
146b621d130
153dd381780
hex257a8ba16

10060610070 has 128 divisors (see below), whose sum is σ = 27930811392. Its totient is φ = 2271744000.

The previous prime is 10060610069. The next prime is 10060610089. The reversal of 10060610070 is 7001606001.

10060610070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6932845 + ... + 6934295.

It is an arithmetic number, because the mean of its divisors is an integer number (218209464).

Almost surely, 210060610070 is an apocalyptic number.

10060610070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10060610070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13965405696).

10060610070 is an abundant number, since it is smaller than the sum of its proper divisors (17870201322).

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

10060610070 is a wasteful number, since it uses less digits than its factorization.

10060610070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846.

The product of its (nonzero) digits is 252, while the sum is 21.

The spelling of 10060610070 in words is "ten billion, sixty million, six hundred ten thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 137 210 241 274 411 482 685 723 822 959 1205 1370 1446 1451 1687 1918 2055 2410 2877 2902 3374 3615 4110 4353 4795 5061 5754 7230 7255 8435 8706 9590 10122 10157 14385 14510 16870 20314 21765 25305 28770 30471 33017 43530 50610 50785 60942 66034 99051 101570 152355 165085 198102 198787 231119 304710 330170 349691 397574 462238 495255 596361 693357 699382 990510 993935 1049073 1155595 1192722 1386714 1391509 1748455 1987870 2098146 2311190 2447837 2783018 2981805 3466785 3496910 4174527 4895674 5245365 5963610 6933570 6957545 7343511 8349054 10490730 12239185 13915090 14687022 20872635 24478370 36717555 41745270 47907667 73435110 95815334 143723001 239538335 287446002 335353669 479076670 670707338 718615005 1006061007 1437230010 1676768345 2012122014 3353536690 5030305035 10060610070