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4970216040 = 2335291997177
BaseRepresentation
bin1001010000011111…
…10111101001101000
3110211101100010122120
410220033313221220
540134333403130
62141104551240
7234111065526
oct45017675150
913741303576
104970216040
112120614969
12b68622520
1361293104a
1435214b316
151e1521910
hex1283f7a68

4970216040 has 128 divisors (see below), whose sum is σ = 15504480000. Its totient is φ = 1273079808.

The previous prime is 4970216029. The next prime is 4970216051. The reversal of 4970216040 is 406120794.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4970216029) and next prime (4970216051).

It is a junction number, because it is equal to n+sod(n) for n = 4970215992 and 4970216010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688932 + ... + 696108.

It is an arithmetic number, because the mean of its divisors is an integer number (121128750).

Almost surely, 24970216040 is an apocalyptic number.

4970216040 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 4970216040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7752240000).

4970216040 is an abundant number, since it is smaller than the sum of its proper divisors (10534263960).

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

4970216040 is a wasteful number, since it uses less digits than its factorization.

4970216040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7419 (or 7415 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 4970216040 is about 70499.7591485248. The cubic root of 4970216040 is about 1706.5738588516.

The spelling of 4970216040 in words is "four billion, nine hundred seventy million, two hundred sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 199 232 290 348 398 435 580 597 696 796 870 995 1160 1194 1592 1740 1990 2388 2985 3480 3980 4776 5771 5970 7177 7960 11542 11940 14354 17313 21531 23084 23880 28708 28855 34626 35885 43062 46168 57416 57710 69252 71770 86124 86565 107655 115420 138504 143540 172248 173130 208133 215310 230840 287080 346260 416266 430620 624399 692520 832532 861240 1040665 1248798 1428223 1665064 2081330 2497596 2856446 3121995 4162660 4284669 4995192 5712892 6243990 7141115 8325320 8569338 11425784 12487980 14282230 17138676 21423345 24975960 28564460 34277352 41418467 42846690 57128920 82836934 85693380 124255401 165673868 171386760 207092335 248510802 331347736 414184670 497021604 621277005 828369340 994043208 1242554010 1656738680 2485108020 4970216040