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2003153656656 = 243192151765577
BaseRepresentation
bin11101001001100101010…
…000110001101101010000
321002111111020000012121110
4131021211100301231100
5230304424314003111
64132122554453320
7264503005100235
oct35114520615520
97074436005543
102003153656656
117025950207a9
12284284134240
13116b86a27cb9
146cd4b65378c
153718ecc45a6
hex1d265431b50

2003153656656 has 120 divisors (see below), whose sum is σ = 5497682988864. Its totient is φ = 628384780800.

The previous prime is 2003153656643. The next prime is 2003153656711. The reversal of 2003153656656 is 6566563513002.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2233740 + ... + 2999316.

Almost surely, 22003153656656 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 2003153656656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748841494432).

2003153656656 is an abundant number, since it is smaller than the sum of its proper divisors (3494529332208).

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

2003153656656 is a wasteful number, since it uses less digits than its factorization.

2003153656656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765777 (or 765752 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 48.

The spelling of 2003153656656 in words is "two trillion, three billion, one hundred fifty-three million, six hundred fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 151 152 228 302 304 361 453 456 604 722 906 912 1083 1208 1444 1812 2166 2416 2869 2888 3624 4332 5738 5776 7248 8607 8664 11476 17214 17328 22952 34428 45904 54511 68856 109022 137712 163533 218044 327066 436088 654132 765577 872176 1308264 1531154 2296731 2616528 3062308 4593462 6124616 9186924 12249232 14545963 18373848 29091926 36747696 43637889 58183852 87275778 115602127 116367704 174551556 231204254 232735408 276373297 346806381 349103112 462408508 552746594 693612762 698206224 829119891 924817016 1105493188 1387225524 1658239782 1849634032 2196440413 2210986376 2774451048 3316479564 4392880826 4421972752 5548902096 6589321239 6632959128 8785761652 13178642478 13265918256 17571523304 26357284956 35143046608 41732367847 52714569912 83464735694 105429139824 125197103541 166929471388 250394207082 333858942776 500788414164 667717885552 1001576828328 2003153656656