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3950972446720 = 21151329679781
BaseRepresentation
bin111001011111101000010…
…011110010100000000000
3111222201011001200221102111
4321133220103302200000
51004213042421243340
612223015055225104
7555306531453025
oct71375023624000
914881131627374
103950972446720
111293663a431a2
12539884818194
13228762669790
14d9329c2754c
156cb91ba2aea
hex397e84f2800

3950972446720 has 96 divisors (see below), whose sum is σ = 10209251412360. Its totient is φ = 1458820546560.

The previous prime is 3950972446711. The next prime is 3950972446727. The reversal of 3950972446720 is 276442790593.

It can be written as a sum of positive squares in 4 ways, for example, as 3391372698624 + 559599748096 = 1841568^2 + 748064^2 .

It is a super-2 number, since 2×39509724467202 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3950972446727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14706771 + ... + 14973010.

Almost surely, 23950972446720 is an apocalyptic number.

It is an amenable number.

3950972446720 is an abundant number, since it is smaller than the sum of its proper divisors (6258278965640).

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

3950972446720 is a wasteful number, since it uses less digits than its factorization.

3950972446720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29679821 (or 29679801 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 58.

The spelling of 3950972446720 in words is "three trillion, nine hundred fifty billion, nine hundred seventy-two million, four hundred forty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1664 2048 2080 2560 3328 4160 5120 6656 8320 10240 13312 16640 26624 33280 66560 133120 29679781 59359562 118719124 148398905 237438248 296797810 385837153 474876496 593595620 771674306 949752992 1187191240 1543348612 1899505984 1929185765 2374382480 3086697224 3799011968 3858371530 4748764960 6173394448 7598023936 7716743060 9497529920 12346788896 15196047872 15433486120 18995059840 24693577792 30392095744 30866972240 37990119680 49387155584 60784191488 61733944480 75980239360 98774311168 123467888960 151960478720 197548622336 246935777920 303920957440 395097244672 493871555840 790194489344 987743111680 1975486223360 3950972446720