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87444038023020 = 22325769400030177
BaseRepresentation
bin10011111000011110100110…
…110100101111011101101100
3102110121120100100200201201200
4103320132212310233131230
542430140342213214040
6505551123030005500
724263423531241330
oct2370364664573554
9373546310621650
1087444038023020
1125953898891328
1299832a74a6890
1339a3c25623863
14178445796b7c0
15a19947c9e630
hex4f87a6d2f76c

87444038023020 has 72 divisors (see below), whose sum is σ = 303139331817504. Its totient is φ = 19987208690688.

The previous prime is 87444038022967. The next prime is 87444038023021. The reversal of 87444038023020 is 2032083044478.

87444038023020 is a `hidden beast` number, since 8 + 7 + 4 + 4 + 403 + 8 + 0 + 230 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (87444038023021) 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, 34700013829 + ... + 34700016348.

Almost surely, 287444038023020 is an apocalyptic number.

It is an amenable number.

87444038023020 is an abundant number, since it is smaller than the sum of its proper divisors (215695293794484).

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

87444038023020 is a wasteful number, since it uses less digits than its factorization.

87444038023020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69400030199 (or 69400030194 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 87444038023020 in words is "eighty-seven trillion, four hundred forty-four billion, thirty-eight million, twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 69400030177 138800060354 208200090531 277600120708 347000150885 416400181062 485800211239 624600271593 694000301770 832800362124 971600422478 1041000452655 1249200543186 1388000603540 1457400633717 1943200844956 2082000905310 2429001056195 2498401086372 2914801267434 3123001357965 4164001810620 4372201901151 4858002112390 5829602534868 6246002715930 7287003168585 8744403802302 9716004224780 12492005431860 14574006337170 17488807604604 21861009505755 29148012674340 43722019011510 87444038023020