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4742366720 = 29571320357
BaseRepresentation
bin1000110101010101…
…01100011000000000
3110020111121012010212
410122222230120000
534203021213340
62102325213252
7225343311020
oct43252543000
913214535125
104742366720
112013a40343
12b04261228
135a7675970
1432db99a80
151cb515a65
hex11aaac600

4742366720 has 160 divisors (see below), whose sum is σ = 13995229248. Its totient is φ = 1500807168.

The previous prime is 4742366719. The next prime is 4742366753. The reversal of 4742366720 is 276632474.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 222782 + ... + 243138.

Almost surely, 24742366720 is an apocalyptic number.

4742366720 is a gapful number since it is divisible by the number (40) 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 4742366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997614624).

4742366720 is an abundant number, since it is smaller than the sum of its proper divisors (9252862528).

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

4742366720 is a wasteful number, since it uses less digits than its factorization.

4742366720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20400 (or 20384 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 41.

The square root of 4742366720 is about 68864.8438610007. The cubic root of 4742366720 is about 1680.0867680053.

The spelling of 4742366720 in words is "four billion, seven hundred forty-two million, three hundred sixty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 256 260 280 320 364 416 448 455 512 520 560 640 728 832 896 910 1040 1120 1280 1456 1664 1792 1820 2080 2240 2560 2912 3328 3584 3640 4160 4480 5824 6656 7280 8320 8960 11648 14560 16640 17920 20357 23296 29120 33280 40714 46592 58240 81428 101785 116480 142499 162856 203570 232960 264641 284998 325712 407140 529282 569996 651424 712495 814280 1058564 1139992 1302848 1323205 1424990 1628560 1852487 2117128 2279984 2605696 2646410 2849980 3257120 3704974 4234256 4559968 5211392 5292820 5699960 6514240 7409948 8468512 9119936 9262435 10422784 10585640 11399920 13028480 14819896 16937024 18239872 18524870 21171280 22799840 26056960 29639792 33874048 36479744 37049740 42342560 45599680 52113920 59279584 67748096 72959488 74099480 84685120 91199360 118559168 135496192 148198960 169370240 182398720 237118336 296397920 338740480 364797440 474236672 592795840 677480960 948473344 1185591680 2371183360 4742366720