Search a number
-
+
368121247740 = 223252457183233
BaseRepresentation
bin1010101101101011011…
…11000111011111111100
31022012012000001222000200
411112311233013133330
522012403014411430
6441040151523500
735411246656221
oct5266557073774
91265160058020
10368121247740
11132134935a54
125b417089590
1328937c71a1c
1413b62421948
159897dac460
hex55b5bc77fc

368121247740 has 72 divisors (see below), whose sum is σ = 1116693313008. Its totient is φ = 98160491520.

The previous prime is 368121247643. The next prime is 368121247763. The reversal of 368121247740 is 47742121863.

368121247740 is a `hidden beast` number, since 368 + 1 + 2 + 1 + 247 + 7 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4381164 + ... + 4464396.

Almost surely, 2368121247740 is an apocalyptic number.

368121247740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

368121247740 is an abundant number, since it is smaller than the sum of its proper divisors (748572065268).

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

368121247740 is a wasteful number, since it uses less digits than its factorization.

368121247740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107819 (or 107814 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 368121247740 in words is "three hundred sixty-eight billion, one hundred twenty-one million, two hundred forty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 24571 49142 73713 83233 98284 122855 147426 166466 221139 245710 249699 294852 332932 368565 416165 442278 491420 499398 737130 749097 832330 884556 998796 1105695 1248495 1474260 1498194 1664660 2211390 2496990 2996388 3745485 4422780 4993980 7490970 14981940 2045118043 4090236086 6135354129 8180472172 10225590215 12270708258 18406062387 20451180430 24541416516 30676770645 36812124774 40902360860 61353541290 73624249548 92030311935 122707082580 184060623870 368121247740