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42213020004 = 223273109114723
BaseRepresentation
bin100111010100000101…
…111001000101100100
311000221220020121020100
4213110011321011210
51142423013120004
631220431304100
73023035515111
oct472405710544
9130856217210
1042213020004
11169a21707a1
12822107b030
133c996c225c
142086477908
151170e26739
hex9d4179164

42213020004 has 72 divisors (see below), whose sum is σ = 108273346272. Its totient is φ = 13864590720.

The previous prime is 42213019969. The next prime is 42213020027. The reversal of 42213020004 is 40002031224.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2859787 + ... + 2874509.

It is an arithmetic number, because the mean of its divisors is an integer number (1503796476).

Almost surely, 242213020004 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 42213020004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54136673136).

42213020004 is an abundant number, since it is smaller than the sum of its proper divisors (66060326268).

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

42213020004 is a wasteful number, since it uses less digits than its factorization.

42213020004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15897 (or 15892 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42213020004 its reverse (40002031224), we get a palindrome (82215051228).

The spelling of 42213020004 in words is "forty-two billion, two hundred thirteen million, twenty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1091 1314 2182 2628 3273 4364 6546 9819 13092 14723 19638 29446 39276 44169 58892 79643 88338 132507 159286 176676 238929 265014 318572 477858 530028 716787 955716 1074779 1433574 2149558 2867148 3224337 4299116 6448674 9673011 12897348 16062793 19346022 32125586 38692044 48188379 64251172 96376758 144565137 192753516 289130274 578260548 1172583889 2345167778 3517751667 4690335556 7035503334 10553255001 14071006668 21106510002 42213020004