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1004153003152 = 241323679732297
BaseRepresentation
bin11101001110011000010…
…11101101110010010000
310112222220011000211210121
432213030023231302100
5112423001132100102
62045145043440024
7132355563460645
oct16471413556220
93488804024717
101004153003152
1135794a212702
12142740986014
13738ca7cb060
143685bc27dcc
151b1c1160b37
hexe9cc2edc90

1004153003152 has 160 divisors (see below), whose sum is σ = 2241876010752. Its totient is φ = 432173187072.

The previous prime is 1004153003123. The next prime is 1004153003171. The reversal of 1004153003152 is 2513003514001.

It is a happy number.

1004153003152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31075068 + ... + 31107364.

Almost surely, 21004153003152 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 1004153003152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120938005376).

1004153003152 is an abundant number, since it is smaller than the sum of its proper divisors (1237723007600).

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

1004153003152 is a wasteful number, since it uses less digits than its factorization.

1004153003152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32505 (or 32499 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 1004153003152 its reverse (2513003514001), we get a palindrome (3517156517153).

The spelling of 1004153003152 in words is "one trillion, four billion, one hundred fifty-three million, three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 23 26 46 52 67 92 97 104 134 184 194 208 268 299 368 388 536 598 776 871 1072 1196 1261 1541 1552 1742 2231 2392 2522 3082 3484 4462 4784 5044 6164 6499 6968 8924 10088 12328 12998 13936 17848 20033 20176 24656 25996 29003 32297 35696 40066 51992 58006 64594 80132 84487 103984 116012 129188 149477 160264 168974 232024 258376 298954 320528 337948 419861 464048 516752 597908 675896 742831 839722 1195816 1351792 1485662 1679444 1943201 2163899 2391632 2971324 3132809 3358888 3886402 4327798 5942648 6265618 6717776 7772804 8655596 9656803 11885296 12531236 15545608 17311192 19313606 25062472 28130687 31091216 34622384 38627212 40726517 49769677 50124944 56261374 72054607 77254424 81453034 99539354 112522748 144109214 154508848 162906068 199078708 209898203 225045496 288218428 325812136 398157416 419796406 450090992 576436856 647005801 651624272 796314832 839592812 936709891 1152873712 1294011602 1679185624 1873419782 2588023204 2728676639 3358371248 3746839564 4827658669 5176046408 5457353278 7493679128 9655317338 10352092816 10914706556 14987358256 19310634676 21829413112 38621269352 43658826224 62759562697 77242538704 125519125394 251038250788 502076501576 1004153003152