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1989660672 = 212351999
BaseRepresentation
bin111011010010111…
…1101000000000000
312010122220020100000
41312211331000000
513033323120142
6525233200000
7100206556656
oct16645750000
95118806300
101989660672
1193112556a
12476400000
1325929720c
1414c366dd6
15b9a1e14c
hex7697d000

1989660672 has 156 divisors (see below), whose sum is σ = 5963048000. Its totient is φ = 662888448.

The previous prime is 1989660661. The next prime is 1989660689. The reversal of 1989660672 is 2760669891.

1989660672 = T288 + T289 + ... + T2286.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 994329 + ... + 996327.

Almost surely, 21989660672 is an apocalyptic number.

1989660672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1989660672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981524000).

1989660672 is an abundant number, since it is smaller than the sum of its proper divisors (3973387328).

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

1989660672 is an frugal number, since it uses more digits than its factorization.

1989660672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 1989660672 is about 44605.6125616497. The cubic root of 1989660672 is about 1257.7461749558.

The spelling of 1989660672 in words is "one billion, nine hundred eighty-nine million, six hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 1999 2048 2304 2592 3072 3456 3888 3998 4096 4608 5184 5997 6144 6912 7776 7996 9216 10368 11994 12288 13824 15552 15992 17991 18432 20736 23988 27648 31104 31984 35982 36864 41472 47976 53973 55296 62208 63968 71964 82944 95952 107946 110592 124416 127936 143928 161919 165888 191904 215892 248832 255872 287856 323838 331776 383808 431784 485757 497664 511744 575712 647676 767616 863568 971514 995328 1023488 1151424 1295352 1535232 1727136 1943028 2046976 2302848 2590704 3070464 3454272 3886056 4093952 4605696 5181408 6140928 6908544 7772112 8187904 9211392 10362816 12281856 13817088 15544224 18422784 20725632 24563712 27634176 31088448 36845568 41451264 55268352 62176896 73691136 82902528 110536704 124353792 165805056 221073408 248707584 331610112 497415168 663220224 994830336 1989660672