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4172970416 = 24172832131
BaseRepresentation
bin1111100010111010…
…0111100110110000
3101202211011212020212
43320232213212300
532021240023131
61530025123252
7205260443336
oct37056474660
911684155225
104172970416
11185159548a
12985629528
13516703a84
142b82dbb56
15196540a2b
hexf8ba79b0

4172970416 has 90 divisors (see below), whose sum is σ = 8759789412. Its totient is φ = 1925281280.

The previous prime is 4172970409. The next prime is 4172970463. The reversal of 4172970416 is 6140792714.

It is a super-2 number, since 2×41729704162 = 34827364185622426112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31854671 + ... + 31854801.

Almost surely, 24172970416 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 4172970416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379894706).

4172970416 is an abundant number, since it is smaller than the sum of its proper divisors (4586818996).

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

4172970416 is a wasteful number, since it uses less digits than its factorization.

4172970416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 4172970416 is about 64598.5326149132. The cubic root of 4172970416 is about 1609.9600591920.

The spelling of 4172970416 in words is "four billion, one hundred seventy-two million, nine hundred seventy thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 83 131 136 166 262 272 289 332 524 578 664 1048 1156 1328 1411 2096 2227 2312 2822 4454 4624 5644 6889 8908 10873 11288 13778 17816 21746 22576 23987 27556 35632 37859 43492 47974 55112 75718 86984 95948 110224 117113 151436 173968 184841 191896 234226 302872 369682 383792 468452 605744 739364 902459 936904 1478728 1804918 1873808 1990921 2957456 3142297 3609836 3981842 6284594 7219672 7963684 12569188 14439344 15341803 15927368 25138376 30683606 31854736 50276752 61367212 122734424 245468848 260810651 521621302 1043242604 2086485208 4172970416