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2145378690 = 233571387317
BaseRepresentation
bin111111111011111…
…1110000110000010
312112111220112022000
41333313332012002
513343204104230
6552514524430
7104110263240
oct17767760602
95474815260
102145378690
11a01012844
124ba596716
13282618960
14164cdd790
15c852cb60
hex7fdfe182

2145378690 has 128 divisors (see below), whose sum is σ = 7041323520. Its totient is φ = 452646144.

The previous prime is 2145378667. The next prime is 2145378691. The reversal of 2145378690 is 968735412.

2145378690 is a `hidden beast` number, since 21 + 4 + 537 + 8 + 6 + 90 = 666.

2145378690 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21453786902 = 9205299447012232200, which contains 22 as substring.

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

2145378690 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (2145378691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19089 + ... + 68228.

It is an arithmetic number, because the mean of its divisors is an integer number (55010340).

It is a 1-persistent number, because it is pandigital, but 2⋅2145378690 = 4290757380 is not.

Almost surely, 22145378690 is an apocalyptic number.

2145378690 is an abundant number, since it is smaller than the sum of its proper divisors (4895944830).

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

2145378690 is a wasteful number, since it uses less digits than its factorization.

2145378690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87353 (or 87347 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2145378690 is about 46318.2328030766. The cubic root of 2145378690 is about 1289.7374803820.

The spelling of 2145378690 in words is "two billion, one hundred forty-five million, three hundred seventy-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1170 1365 1638 1755 1890 2457 2730 3510 4095 4914 8190 12285 24570 87317 174634 261951 436585 523902 611219 785853 873170 1135121 1222438 1309755 1571706 1833657 2270242 2357559 2619510 3056095 3405363 3667314 3929265 4715118 5500971 5675605 6112190 6810726 7858530 7945847 9168285 10216089 11001942 11351210 11787795 15891694 16502913 17026815 18336570 20432178 23575590 23837541 27504855 30648267 33005826 34053630 39729235 47675082 51080445 55009710 61296534 71512623 79458470 82514565 102160890 119187705 143025246 153241335 165029130 214537869 238375410 306482670 357563115 429075738 715126230 1072689345 2145378690