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2131461948 = 2237112209707
BaseRepresentation
bin111111100001011…
…1000011100111100
312111112201111010010
41333002320130330
513331123240243
6551300343220
7103551061530
oct17702703474
95445644103
102131461948
119a4177a00
124b59a4b10
1327c7853b5
14163119bc0
15c71ce433
hex7f0b873c

2131461948 has 72 divisors (see below), whose sum is σ = 6247620736. Its totient is φ = 553623840.

The previous prime is 2131461931. The next prime is 2131461953. The reversal of 2131461948 is 8491641312.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94690 + ... + 115017.

Almost surely, 22131461948 is an apocalyptic number.

2131461948 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2131461948 is an abundant number, since it is smaller than the sum of its proper divisors (4116158788).

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

2131461948 is a wasteful number, since it uses less digits than its factorization.

2131461948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209743 (or 209730 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 2131461948 is about 46167.7587500195. The cubic root of 2131461948 is about 1286.9426521309.

The spelling of 2131461948 in words is "two billion, one hundred thirty-one million, four hundred sixty-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1694 2541 3388 5082 10164 209707 419414 629121 838828 1258242 1467949 2306777 2516484 2935898 4403847 4613554 5871796 6920331 8807694 9227108 13840662 16147439 17615388 25374547 27681324 32294878 48442317 50749094 64589756 76123641 96884634 101498188 152247282 177621829 193769268 304494564 355243658 532865487 710487316 1065730974 2131461948