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2423917936640 = 215521296949
BaseRepresentation
bin100011010001011100110…
…001001000000000000000
322120201120000020021220002
4203101130301020000000
5304203140442433030
65053311005335132
7340056642340544
oct43213461100000
98521500207802
102423917936640
11854a83535a72
123319312674a8
13147761198435
1485465409a24
15430b95a7245
hex2345cc48000

2423917936640 has 128 divisors (see below), whose sum is σ = 5820884235000. Its totient is φ = 968972304384.

The previous prime is 2423917936603. The next prime is 2423917936691. The reversal of 2423917936640 is 466397193242.

It can be written as a sum of positive squares in 4 ways, for example, as 2088741781504 + 335176155136 = 1445248^2 + 578944^2 .

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 7 ways as a sum of consecutive naturals, for example, 348811886 + ... + 348818834.

Almost surely, 22423917936640 is an apocalyptic number.

2423917936640 is a gapful number since it is divisible by the number (20) 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 2423917936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910442117500).

2423917936640 is an abundant number, since it is smaller than the sum of its proper divisors (3396966298360).

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

2423917936640 is an frugal number, since it uses more digits than its factorization.

2423917936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9113 (or 9085 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 56.

The spelling of 2423917936640 in words is "two trillion, four hundred twenty-three billion, nine hundred seventeen million, nine hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2129 2560 4096 4258 5120 6949 8192 8516 10240 10645 13898 16384 17032 20480 21290 27796 32768 34064 34745 40960 42580 55592 68128 69490 81920 85160 111184 136256 138980 163840 170320 222368 272512 277960 340640 444736 545024 555920 681280 889472 1090048 1111840 1362560 1778944 2180096 2223680 2725120 3557888 4360192 4447360 5450240 7115776 8720384 8894720 10900480 14231552 14794421 17440768 17789440 21800960 28463104 29588842 34881536 35578880 43601920 56926208 59177684 69763072 71157760 73972105 87203840 113852416 118355368 142315520 147944210 174407680 227704832 236710736 284631040 295888420 348815360 473421472 569262080 591776840 946842944 1138524160 1183553680 1893685888 2367107360 3787371776 4734214720 7574743552 9468429440 15149487104 18936858880 30298974208 37873717760 60597948416 75747435520 121195896832 151494871040 242391793664 302989742080 484783587328 605979484160 1211958968320 2423917936640