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42194051352 = 233229103196193
BaseRepresentation
bin100111010010111101…
…100010000100011000
311000220120112220010200
4213102331202010120
51142403134120402
631214512542200
73022415342655
oct472275420430
9130816486120
1042194051352
1116992495322
128216851960
133c957b03bb
142083b3ac2c
15116e42b21c
hex9d2f62118

42194051352 has 96 divisors (see below), whose sum is σ = 119364429600. Its totient is φ = 13447784448.

The previous prime is 42194051329. The next prime is 42194051353. The reversal of 42194051352 is 25315049124.

42194051352 is a `hidden beast` number, since 4 + 2 + 1 + 94 + 0 + 513 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42194051353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116968 + ... + 313160.

It is an arithmetic number, because the mean of its divisors is an integer number (1243379475).

Almost surely, 242194051352 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 42194051352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59682214800).

42194051352 is an abundant number, since it is smaller than the sum of its proper divisors (77170378248).

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

42194051352 is a wasteful number, since it uses less digits than its factorization.

42194051352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196337 (or 196330 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 42194051352 in words is "forty-two billion, one hundred ninety-four million, fifty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 103 116 174 206 232 261 309 348 412 522 618 696 824 927 1044 1236 1854 2088 2472 2987 3708 5974 7416 8961 11948 17922 23896 26883 35844 53766 71688 107532 196193 215064 392386 588579 784772 1177158 1569544 1765737 2354316 3531474 4708632 5689597 7062948 11379194 14125896 17068791 20207879 22758388 34137582 40415758 45516776 51206373 60623637 68275164 80831516 102412746 121247274 136550328 161663032 181870911 204825492 242494548 363741822 409650984 484989096 586028491 727483644 1172056982 1454967288 1758085473 2344113964 3516170946 4688227928 5274256419 7032341892 10548512838 14064683784 21097025676 42194051352