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74057461241634 = 232131975316022117
BaseRepresentation
bin10000110101101011011000…
…101010111001011100100010
3100201012211020210202222201100
4100311223120222321130202
534201324140034213014
6421301310015215230
721412321633111023
oct2065533052713442
9321184223688640
1074057461241634
1121662658219042
1283809b9b17516
1332427862ac820
1414405863d8c4a
158866103be009
hex435ad8ab9722

74057461241634 has 48 divisors (see below), whose sum is σ = 172809501758712. Its totient is φ = 22785756136704.

The previous prime is 74057461241597. The next prime is 74057461241657. The reversal of 74057461241634 is 43614216475047.

74057461241634 is a `hidden beast` number, since 7 + 4 + 0 + 5 + 7 + 4 + 612 + 4 + 16 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61322947824609 + 12734513417025 = 7830897^2 + 3568545^2 .

It is a super-2 number, since 2×740574612416342 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3388857 + ... + 12633260.

Almost surely, 274057461241634 is an apocalyptic number.

74057461241634 is an abundant number, since it is smaller than the sum of its proper divisors (98752040517078).

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

74057461241634 is a wasteful number, since it uses less digits than its factorization.

74057461241634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16041891 (or 16041888 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 74057461241634 in words is "seventy-four trillion, fifty-seven billion, four hundred sixty-one million, two hundred forty-one thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 19753 39506 59259 118518 177777 256789 355554 513578 770367 1540734 2311101 4622202 16022117 32044234 48066351 96132702 144199053 208287521 288398106 416575042 624862563 1249725126 1874587689 3749175378 316484877101 632969754202 949454631303 1898909262606 2848363893909 4114303402313 5696727787818 8228606804626 12342910206939 24685820413878 37028730620817 74057461241634