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11672370990 = 2325719197003
BaseRepresentation
bin10101101111011101…
…00011111100101110
31010010110121212211200
422313232203330232
5142401111332430
65210123230330
7562152342060
oct126756437456
933113555750
1011672370990
114a4a8270a5
1223190783a6
131140311cc7
147ca2d5730
15484b05460
hex2b7ba3f2e

11672370990 has 96 divisors (see below), whose sum is σ = 34865565696. Its totient is φ = 2653974720.

The previous prime is 11672370973. The next prime is 11672371001. The reversal of 11672370990 is 9907327611.

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 47 ways as a sum of consecutive naturals, for example, 71829 + ... + 168831.

It is an arithmetic number, because the mean of its divisors is an integer number (363182976).

Almost surely, 211672370990 is an apocalyptic number.

11672370990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11672370990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17432782848).

11672370990 is an abundant number, since it is smaller than the sum of its proper divisors (23193194706).

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

11672370990 is a wasteful number, since it uses less digits than its factorization.

11672370990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97214 (or 97211 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 11672370990 in words is "eleven billion, six hundred seventy-two million, three hundred seventy thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 191 210 315 382 573 630 955 1146 1337 1719 1910 2674 2865 3438 4011 5730 6685 8022 8595 12033 13370 17190 20055 24066 40110 60165 97003 120330 194006 291009 485015 582018 679021 873027 970030 1358042 1455045 1746054 2037063 2910090 3395105 4074126 4365135 6111189 6790210 8730270 10185315 12222378 18527573 20370630 30555945 37055146 55582719 61111890 92637865 111165438 129693011 166748157 185275730 259386022 277913595 333496314 389079033 555827190 648465055 778158066 833740785 1167237099 1296930110 1667481570 1945395165 2334474198 3890790330 5836185495 11672370990