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4023678912 = 263114014751
BaseRepresentation
bin1110111111010100…
…0111011111000000
3101101102021001210220
43233311013133000
531220030211122
61503133223040
7201465464211
oct35765073700
911342231726
104023678912
111785297580
12943631a80
134c17c24c6
142a2559408
151883a125c
hexefd477c0

4023678912 has 112 divisors (see below), whose sum is σ = 11645213184. Its totient is φ = 1216000000.

The previous prime is 4023678907. The next prime is 4023678917. The reversal of 4023678912 is 2198763204.

It is an interprime number because it is at equal distance from previous prime (4023678907) and next prime (4023678917).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023678917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 844537 + ... + 849287.

Almost surely, 24023678912 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 4023678912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5822606592).

4023678912 is an abundant number, since it is smaller than the sum of its proper divisors (7621534272).

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

4023678912 is a wasteful number, since it uses less digits than its factorization.

4023678912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5178 (or 5168 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 4023678912 is about 63432.4752157757. The cubic root of 4023678912 is about 1590.5272188581.

The spelling of 4023678912 in words is "four billion, twenty-three million, six hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 401 528 704 802 1056 1203 1604 2112 2406 3208 4411 4751 4812 6416 8822 9502 9624 12832 13233 14253 17644 19004 19248 25664 26466 28506 35288 38008 38496 52261 52932 57012 70576 76016 76992 104522 105864 114024 141152 152032 156783 209044 211728 228048 282304 304064 313566 418088 423456 456096 627132 836176 846912 912192 1254264 1672352 1905151 2508528 3344704 3810302 5017056 5715453 7620604 10034112 11430906 15241208 20956661 22861812 30482416 41913322 45723624 60964832 62869983 83826644 91447248 121929664 125739966 167653288 182894496 251479932 335306576 365788992 502959864 670613152 1005919728 1341226304 2011839456 4023678912