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97444072960 = 295132928007
BaseRepresentation
bin101101011000000011…
…1101000111000000000
3100022112001012210111021
41122300013220320000
53044031140313320
6112433140355224
710016516645113
oct1326007507000
9308461183437
1097444072960
1138364703303
1216a759a5b14
13925c12b190
144a0581257a
152804b62daa
hex16b01e8e00

97444072960 has 80 divisors (see below), whose sum is σ = 251609583456. Its totient is φ = 35979337728.

The previous prime is 97444072937. The next prime is 97444072991. The reversal of 97444072960 is 6927044479.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×974440729603 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 97444072898 and 97444072907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1430724 + ... + 1497283.

Almost surely, 297444072960 is an apocalyptic number.

It is an amenable number.

97444072960 is an abundant number, since it is smaller than the sum of its proper divisors (154165510496).

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

97444072960 is a wasteful number, since it uses less digits than its factorization.

97444072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928043 (or 2928027 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 97444072960 in words is "ninety-seven billion, four hundred forty-four million, seventy-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1040 1280 1664 2080 2560 3328 4160 6656 8320 16640 33280 2928007 5856014 11712028 14640035 23424056 29280070 38064091 46848112 58560140 76128182 93696224 117120280 152256364 187392448 190320455 234240560 304512728 374784896 380640910 468481120 609025456 749569792 761281820 936962240 1218050912 1499139584 1522563640 1873924480 2436101824 3045127280 3747848960 4872203648 6090254560 7495697920 9744407296 12180509120 19488814592 24361018240 48722036480 97444072960