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4374447672 = 23371910391319
BaseRepresentation
bin1000001001011110…
…01100011000111000
3102021212021222002110
410010233030120320
532424324311142
62002023332320
7213255122520
oct40457143070
912255258073
104374447672
111945297311
12a20bb10a0
1354938759a
142d6d86680
151a908c99c
hex104bcc638

4374447672 has 128 divisors (see below), whose sum is σ = 13178880000. Its totient is φ = 1182024576.

The previous prime is 4374447643. The next prime is 4374447689. The reversal of 4374447672 is 2767444734.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3315829 + ... + 3317147.

It is an arithmetic number, because the mean of its divisors is an integer number (102960000).

Almost surely, 24374447672 is an apocalyptic number.

4374447672 is a gapful number since it is divisible by the number (42) 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 4374447672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589440000).

4374447672 is an abundant number, since it is smaller than the sum of its proper divisors (8804432328).

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

4374447672 is a wasteful number, since it uses less digits than its factorization.

4374447672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2389 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 48.

The square root of 4374447672 is about 66139.6074376013. The cubic root of 4374447672 is about 1635.4643254734.

The spelling of 4374447672 in words is "four billion, three hundred seventy-four million, four hundred forty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1039 1064 1319 1596 2078 2638 3117 3192 3957 4156 5276 6234 7273 7914 8312 9233 10552 12468 14546 15828 18466 19741 21819 24936 25061 27699 29092 31656 36932 39482 43638 50122 55398 58184 59223 73864 75183 78964 87276 100244 110796 118446 138187 150366 157928 174552 175427 200488 221592 236892 276374 300732 350854 414561 473784 526281 552748 601464 701708 829122 1052562 1105496 1370441 1403416 1658244 2105124 2740882 3316488 4111323 4210248 5481764 8222646 9593087 10963528 16445292 19186174 26038379 28779261 32890584 38372348 52076758 57558522 76744696 78115137 104153516 115117044 156230274 182268653 208307032 230234088 312460548 364537306 546805959 624921096 729074612 1093611918 1458149224 2187223836 4374447672