Search a number
-
+
12265601904 = 24359773229
BaseRepresentation
bin10110110110001011…
…00011101101110000
31011122210220010200000
423123011203231300
5200104443230104
65345034230000
7612644616213
oct133305435560
934583803600
1012265601904
115224681286
122463885300
1312061aa80a
14844dd977a
154bbc37639
hex2db163b70

12265601904 has 120 divisors (see below), whose sum is σ = 35645478960. Its totient is φ = 4083084288.

The previous prime is 12265601899. The next prime is 12265601941. The reversal of 12265601904 is 40910656221.

12265601904 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 560 + 1 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3796962 + ... + 3800190.

It is an arithmetic number, because the mean of its divisors is an integer number (297045658).

Almost surely, 212265601904 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 12265601904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17822739480).

12265601904 is an abundant number, since it is smaller than the sum of its proper divisors (23379877056).

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

12265601904 is an equidigital number, since it uses as much as digits as its factorization.

12265601904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4229 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12265601904 in words is "twelve billion, two hundred sixty-five million, six hundred one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 977 1296 1944 1954 2931 3229 3888 3908 5862 6458 7816 8793 9687 11724 12916 15632 17586 19374 23448 25832 26379 29061 35172 38748 46896 51664 52758 58122 70344 77496 79137 87183 105516 116244 140688 154992 158274 174366 211032 232488 237411 261549 316548 348732 422064 464976 474822 523098 633096 697464 784647 949644 1046196 1266192 1394928 1569294 1899288 2092392 3138588 3154733 3798576 4184784 6277176 6309466 9464199 12554352 12618932 18928398 25237864 28392597 37856796 50475728 56785194 75713592 85177791 113570388 151427184 170355582 227140776 255533373 340711164 454281552 511066746 681422328 766600119 1022133492 1362844656 1533200238 2044266984 3066400476 4088533968 6132800952 12265601904