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6425904960 = 26345247913
BaseRepresentation
bin1011111110000001…
…11000011101000000
3121120211110210110000
411333000320131000
5101130012424320
62541345240000
7315145201536
oct57700703500
917524423400
106425904960
1127a828a562
1212b4033000
137b53aa437
1444d5d8156
15279216c90
hex17f038740

6425904960 has 140 divisors (see below), whose sum is σ = 22858166628. Its totient is φ = 1713567744.

The previous prime is 6425904923. The next prime is 6425904973. The reversal of 6425904960 is 694095246.

It can be written as a sum of positive squares in 2 ways, for example, as 1179510336 + 5246394624 = 34344^2 + 72432^2 .

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 19 ways as a sum of consecutive naturals, for example, 98037 + ... + 149876.

Almost surely, 26425904960 is an apocalyptic number.

6425904960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6425904960 is an abundant number, since it is smaller than the sum of its proper divisors (16432261668).

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

6425904960 is a wasteful number, since it uses less digits than its factorization.

6425904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247942 (or 247923 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6425904960 is about 80161.7424960311. The cubic root of 6425904960 is about 1859.1371648378.

The spelling of 6425904960 in words is "six billion, four hundred twenty-five million, nine hundred four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 247913 495826 743739 991652 1239565 1487478 1983304 2231217 2479130 2974956 3718695 3966608 4462434 4958260 5949912 6693651 7437390 7933216 8924868 9916520 11156085 11899824 13387302 14874780 15866432 17849736 19833040 20080953 22312170 23799648 26774604 29749560 33468255 35699472 39666080 40161906 44624340 47599296 53549208 59499120 66936510 71398944 79332160 80323812 89248680 100404765 107098416 118998240 133873020 142797888 160647624 178497360 200809530 214196832 237996480 267746040 321295248 356994720 401619060 428393664 535492080 642590496 713989440 803238120 1070984160 1285180992 1606476240 2141968320 3212952480 6425904960