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30002014683186 = 23713432281560227
BaseRepresentation
bin1101101001001011000110…
…11011011000000000110010
310221020011102222200021020220
412310211203123120000302
512413023111224330221
6143450422452513510
76214400615044140
oct664454333300062
9127204388607226
1030002014683186
119617868157387
12344671201b896
131398240957990
1475a168b88590
1537064badc0c6
hex1b49636d8032

30002014683186 has 128 divisors (see below), whose sum is σ = 75601845344256. Its totient is φ = 7725202813440.

The previous prime is 30002014683149. The next prime is 30002014683197. The reversal of 30002014683186 is 68138641020003.

It is a super-2 number, since 2×300020146831862 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53273205 + ... + 53833431.

It is an arithmetic number, because the mean of its divisors is an integer number (590639416752).

Almost surely, 230002014683186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30002014683186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37800922672128).

30002014683186 is an abundant number, since it is smaller than the sum of its proper divisors (45599830661070).

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

30002014683186 is a wasteful number, since it uses less digits than its factorization.

30002014683186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562576.

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 30002014683186 in words is "thirty trillion, two billion, fourteen million, six hundred eighty-three thousand, one hundred eighty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 43 78 86 91 129 182 258 273 301 546 559 602 903 1118 1677 1806 2281 3354 3913 4562 6843 7826 11739 13686 15967 23478 29653 31934 47901 59306 88959 95802 98083 177918 196166 207571 294249 415142 560227 588498 622713 686581 1120454 1245426 1275079 1373162 1680681 2059743 2550158 3361362 3825237 3921589 4119486 7282951 7650474 7843178 8925553 11764767 14565902 17851106 21848853 23529534 24089761 26776659 43697706 48179522 50980657 53553318 72269283 101961314 144538566 152941971 168628327 305883942 313166893 337256654 505884981 626333786 939500679 1011769962 1277877787 1879001358 2192168251 2555755574 3833633361 4384336502 6576504753 7667266722 8945144509 13153009506 16612411231 17890289018 26835433527 33224822462 49837233693 53670867054 54948744841 99674467386 109897489682 116286878617 164846234523 232573757234 329692469046 348860635851 384641213887 697721271702 714333682933 769282427774 1153923641661 1428667365866 2143001048799 2307847283322 4286002097598 5000335780531 10000671561062 15001007341593 30002014683186