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20000004999948 = 22332232779329879
BaseRepresentation
bin1001000110000100111010…
…01100011000101100001100
32121210222111201212112022000
410203002131030120230030
510110140002234444243
6110311513033152300
74132644524354661
oct443023514305414
977728451775260
1020000004999948
116410a55472626
1222b017525b690
13b20cb934479c
144d2010b9da68
1524a3a55225d3
hex12309d318b0c

20000004999948 has 96 divisors (see below), whose sum is σ = 52088001638400. Its totient is φ = 6636312052992.

The previous prime is 20000004999943. The next prime is 20000004999991. The reversal of 20000004999948 is 84999940000002.

20000004999948 is a `hidden beast` number, since 20 + 0 + 0 + 0 + 0 + 0 + 499 + 99 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20000004999894 and 20000004999903.

It is not an unprimeable number, because it can be changed into a prime (20000004999943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669351673 + ... + 669381551.

It is an arithmetic number, because the mean of its divisors is an integer number (542583350400).

Almost surely, 220000004999948 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 20000004999948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26044000819200).

20000004999948 is an abundant number, since it is smaller than the sum of its proper divisors (32087996638452).

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

20000004999948 is a wasteful number, since it uses less digits than its factorization.

20000004999948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57908 (or 57900 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 20000004999948 in words is "twenty trillion, four million, nine hundred ninety-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 223 446 669 892 1338 2007 2676 4014 6021 8028 12042 24084 27793 29879 55586 59758 83379 89637 111172 119516 166758 179274 250137 268911 333516 358548 500274 537822 750411 806733 1000548 1075644 1500822 1613466 3001644 3226932 6197839 6663017 12395678 13326034 18593517 19989051 24791356 26652068 37187034 39978102 55780551 59967153 74374068 79956204 111561102 119934306 167341653 179901459 223122204 239868612 334683306 359802918 669366612 719605836 830427047 1660854094 2491281141 3321708188 4982562282 7473843423 9965124564 14947686846 22421530269 29895373692 44843060538 89686121076 185185231481 370370462962 555555694443 740740925924 1111111388886 1666667083329 2222222777772 3333334166658 5000001249987 6666668333316 10000002499974 20000004999948