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425202052031104 = 2737761138185429
BaseRepresentation
bin110000010101110000001000…
…1010001001110001010000000
32001202111220211002101102012011
41200223200101101032022000
5421213002300304443404
64104155043121542304
7155363556142442365
oct14053402121161200
92052456732342164
10425202052031104
111135341a5416767
123b83300aaa4994
13153344c60a8caa
1476ddc63a9046c
153425733d99604
hex182b81144e280

425202052031104 has 128 divisors (see below), whose sum is σ = 871760521702800. Its totient is φ = 206431226265600.

The previous prime is 425202052031041. The next prime is 425202052031117. The reversal of 425202052031104 is 401130250202524.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 30587005424704 + 394615046606400 = 5530552^2 + 19864920^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4977213862 + ... + 4977299290.

Almost surely, 2425202052031104 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 425202052031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435880260851400).

425202052031104 is an abundant number, since it is smaller than the sum of its proper divisors (446558469671696).

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

425202052031104 is a wasteful number, since it uses less digits than its factorization.

425202052031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87622 (or 87610 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 425202052031104 in words is "four hundred twenty-five trillion, two hundred two billion, fifty-two million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 761 1184 1381 1522 2368 2762 3044 4736 5524 6088 11048 12176 22096 24352 28157 44192 48704 51097 56314 85429 88384 97408 102194 112628 170858 176768 204388 225256 341716 408776 450512 683432 817552 901024 1050941 1366864 1635104 1802048 2101882 2733728 3160873 3270208 3604096 4203764 5467456 6321746 6540416 8407528 10934912 12643492 16815056 25286984 33630112 38884817 50573968 65011469 67260224 77769634 101147936 117977449 130022938 134520448 155539268 202295872 235954898 260045876 311078536 404591744 471909796 520091752 622157072 943819592 1040183504 1244314144 1887639184 2080367008 2405424353 2488628288 3775278368 4160734016 4365165613 4810848706 4977256576 7550556736 8321468032 8730331226 9621697412 15101113472 17460662452 19243394824 34921324904 38486789648 69842649808 76973579296 89780838689 139685299616 153947158592 179561677378 279370599232 307894317184 359123354756 558741198464 718246709512 1436493419024 2872986838048 3321891031493 5745973676096 6643782062986 11491947352192 13287564125972 26575128251944 53150256503888 106300513007776 212601026015552 425202052031104