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4016996820 = 2233571104773
BaseRepresentation
bin1110111101101110…
…1000000111010100
3101100221200120201000
43233123220013110
531211322344240
61502334103300
7201354623664
oct35733500724
911327616630
104016996820
111781543191
1294134ab30
134c02c2bc5
142a16da1a4
151879d1430
hexef6e81d4

4016996820 has 96 divisors (see below), whose sum is σ = 12673463040. Its totient is φ = 1056101760.

The previous prime is 4016996813. The next prime is 4016996839. The reversal of 4016996820 is 286996104.

It is a happy number.

It is a super-2 number, since 2×40169968202 = 32272526903780224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 14047 + ... + 90726.

It is an arithmetic number, because the mean of its divisors is an integer number (132015240).

Almost surely, 24016996820 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 4016996820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6336731520).

4016996820 is an abundant number, since it is smaller than the sum of its proper divisors (8656466220).

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

4016996820 is a wasteful number, since it uses less digits than its factorization.

4016996820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104862 (or 104854 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4016996820 is about 63379.7824231040. The cubic root of 4016996820 is about 1589.6462723266.

The spelling of 4016996820 in words is "four billion, sixteen million, nine hundred ninety-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 90 108 135 142 180 213 270 284 355 426 540 639 710 852 1065 1278 1420 1917 2130 2556 3195 3834 4260 6390 7668 9585 12780 19170 38340 104773 209546 314319 419092 523865 628638 942957 1047730 1257276 1571595 1885914 2095460 2828871 3143190 3771828 4714785 5657742 6286380 7438883 9429570 11315484 14144355 14877766 18859140 22316649 28288710 29755532 37194415 44633298 56577420 66949947 74388830 89266596 111583245 133899894 148777660 200849841 223166490 267799788 334749735 401699682 446332980 669499470 803399364 1004249205 1338998940 2008498410 4016996820