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45540600030 = 23451011095107
BaseRepresentation
bin101010011010011011…
…100110100011011110
311100112210200011220000
4222122123212203132
51221231343200110
632530541035130
73201352466442
oct523233464336
9140483604800
1045540600030
111834a532932
1289ab555aa6
1343a9c0cc13
1422c0392822
1512b81261c0
hexa9a6e68de

45540600030 has 160 divisors (see below), whose sum is σ = 124825013280. Its totient is φ = 11911276800.

The previous prime is 45540600013. The next prime is 45540600041. The reversal of 45540600030 is 3000604554.

45540600030 is a `hidden beast` number, since 4 + 5 + 54 + 0 + 600 + 0 + 3 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45540599967 and 45540600003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8914737 + ... + 8919843.

It is an arithmetic number, because the mean of its divisors is an integer number (780156333).

Almost surely, 245540600030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45540600030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62412506640).

45540600030 is an abundant number, since it is smaller than the sum of its proper divisors (79284413250).

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

45540600030 is a wasteful number, since it uses less digits than its factorization.

45540600030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 45540600030 in words is "forty-five billion, five hundred forty million, six hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 101 109 135 162 202 218 270 303 327 405 505 545 606 654 810 909 981 1010 1090 1515 1635 1818 1962 2727 2943 3030 3270 4545 4905 5107 5454 5886 8181 8829 9090 9810 10214 11009 13635 14715 15321 16362 17658 22018 25535 27270 29430 30642 33027 40905 44145 45963 51070 55045 66054 76605 81810 88290 91926 99081 110090 137889 153210 165135 198162 229815 275778 297243 330270 413667 459630 495405 515807 556663 594486 689445 827334 891729 990810 1031614 1113326 1378890 1486215 1547421 1669989 1783458 2068335 2579035 2783315 2972430 3094842 3339978 4136670 4458645 4642263 5009967 5158070 5566630 7737105 8349945 8917290 9284526 10019934 13926789 15029901 15474210 16699890 23211315 25049835 27853578 30059802 41780367 45089703 46422630 50099670 56222963 69633945 75149505 83560734 90179406 112445926 139267890 150299010 168668889 208901835 225448515 281114815 337337778 417803670 450897030 506006667 562229630 843344445 1012013334 1518020001 1686688890 2530033335 3036040002 4554060003 5060066670 7590100005 9108120006 15180200010 22770300015 45540600030