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19939951900 = 22521149136919
BaseRepresentation
bin10010100100100000…
…111000010100011100
31220110122112111202001
4102210200320110130
5311314111430100
613054342212044
71304062536361
oct224440702434
956418474661
1019939951900
118502645aa0
123a45a24024
131b5a111b0b
14d72334468
157ba858d6a
hex4a483851c

19939951900 has 72 divisors (see below), whose sum is σ = 47300722560. Its totient is φ = 7235928000.

The previous prime is 19939951897. The next prime is 19939951949. The reversal of 19939951900 is 915993991.

It is a super-2 number, since 2×199399519002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521641 + ... + 558559.

It is an arithmetic number, because the mean of its divisors is an integer number (656954480).

Almost surely, 219939951900 is an apocalyptic number.

19939951900 is a gapful number since it is divisible by the number (10) 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 19939951900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23650361280).

19939951900 is an abundant number, since it is smaller than the sum of its proper divisors (27360770660).

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

19939951900 is a wasteful number, since it uses less digits than its factorization.

19939951900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37435 (or 37428 counting only the distinct ones).

The product of its (nonzero) digits is 885735, while the sum is 55.

The spelling of 19939951900 in words is "nineteen billion, nine hundred thirty-nine million, nine hundred fifty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 491 550 982 1100 1964 2455 4910 5401 9820 10802 12275 21604 24550 27005 36919 49100 54010 73838 108020 135025 147676 184595 270050 369190 406109 540100 738380 812218 922975 1624436 1845950 2030545 3691900 4061090 8122180 10152725 18127229 20305450 36254458 40610900 72508916 90636145 181272290 199399519 362544580 398799038 453180725 797598076 906361450 996997595 1812722900 1993995190 3987990380 4984987975 9969975950 19939951900