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4130179004992 = 261719429129
BaseRepresentation
bin111100000110100001110…
…110100011101001000000
3112121211201021110100020111
4330012201312203221000
51020132101311124432
612441213353521104
7604252454202655
oct74064166435100
915554637410214
104130179004992
111352665413907
12568558713194
1323c621ab6281
14103c8a4c3c2c
157267e8cc347
hex3c1a1da3a40

4130179004992 has 140 divisors (see below), whose sum is σ = 9160349311980. Its totient is φ = 1841254981632.

The previous prime is 4130179004983. The next prime is 4130179005031. The reversal of 4130179004992 is 2994009710314.

It can be written as a sum of positive squares in 2 ways, for example, as 2143928494656 + 1986250510336 = 1464216^2 + 1409344^2 .

It is a super-2 number, since 2×41301790049922 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 141774684 + ... + 141803812.

Almost surely, 24130179004992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130179004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580174655990).

4130179004992 is an abundant number, since it is smaller than the sum of its proper divisors (5030170306988).

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

4130179004992 is an frugal number, since it uses more digits than its factorization.

4130179004992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29234 (or 29167 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The spelling of 4130179004992 in words is "four trillion, one hundred thirty billion, one hundred seventy-nine million, four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 136 152 272 304 323 361 544 608 646 722 1088 1216 1292 1444 2584 2888 5168 5776 6137 6859 10336 11552 12274 13718 20672 23104 24548 27436 29129 49096 54872 58258 98192 109744 116516 116603 130321 196384 219488 233032 233206 260642 392768 438976 466064 466412 495193 521284 553451 932128 932824 990386 1042568 1106902 1864256 1865648 1980772 2085136 2213804 2215457 3731296 3961544 4170272 4427608 4430914 7462592 7923088 8340544 8855216 8861828 9408667 10515569 15846176 17710432 17723656 18817334 21031138 31692352 35420864 35447312 37634668 42062276 70894624 75269336 84124552 141789248 150538672 168249104 178764673 199795811 301077344 336498208 357529346 399591622 602154688 672996416 715058692 799183244 1430117384 1598366488 2860234768 3196732976 3396528787 3796120409 5720469536 6393465952 6793057574 7592240818 11440939072 12786931904 13586115148 15184481636 27172230296 30368963272 54344460592 60737926544 64534046953 108688921184 121475853088 129068093906 217377842368 242951706176 258136187812 516272375624 1032544751248 2065089502496 4130179004992