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12404555540416 = 261389607275981
BaseRepresentation
bin1011010010000010100100…
…1000000110011111000000
31121220212022210200220102101
42310200221020012133000
53111214012204243131
642214324003200144
72420125310245324
oct264405110063700
947825283626371
1012404555540416
113a52819242136
121484104676054
136bc98aa7c870
1430c552bc7984
15167a0e728c61
hexb48292067c0

12404555540416 has 112 divisors (see below), whose sum is σ = 26850884901120. Its totient is φ = 5651505192960.

The previous prime is 12404555540401. The next prime is 12404555540417. The reversal of 12404555540416 is 61404555540421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12404555540417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44809146 + ... + 45085126.

It is an arithmetic number, because the mean of its divisors is an integer number (239740043760).

Almost surely, 212404555540416 is an apocalyptic number.

12404555540416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12404555540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13425442450560).

12404555540416 is an abundant number, since it is smaller than the sum of its proper divisors (14446329360704).

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

12404555540416 is a wasteful number, since it uses less digits than its factorization.

12404555540416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276702 (or 276692 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 46.

The spelling of 12404555540416 in words is "twelve trillion, four hundred four billion, five hundred fifty-five million, five hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 178 208 356 416 607 712 832 1157 1214 1424 2314 2428 2848 4628 4856 5696 7891 9256 9712 15782 18512 19424 31564 37024 38848 54023 63128 74048 108046 126256 216092 252512 275981 432184 505024 551962 702299 864368 1103924 1404598 1728736 2207848 2809196 3457472 3587753 4415696 5618392 7175506 8831392 11236784 14351012 17662784 22473568 24562309 28702024 44947136 49124618 57404048 98249236 114808096 167520467 196498472 229616192 319310017 335040934 392996944 638620034 670081868 785993888 1277240068 1340163736 1571987776 2177766071 2554480136 2680327472 4355532142 5108960272 5360654944 8711064284 10217920544 10721309888 14909321563 17422128568 20435841088 29818643126 34844257136 59637286252 69688514272 119274572504 139377028544 193821180319 238549145008 387642360638 477098290016 775284721276 954196580032 1550569442552 3101138885104 6202277770208 12404555540416