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3561980856 = 233783467547
BaseRepresentation
bin1101010001001111…
…1000001110111000
3100012020111101010220
43110103320032320
524243331341411
61345241340040
7154161223560
oct32423701670
910166441126
103561980856
111568710a35
12834a97620
13449c5b0a5
1425b0d3da0
1515caa1b06
hexd44f83b8

3561980856 has 128 divisors (see below), whose sum is σ = 10340628480. Its totient is φ = 1001460096.

The previous prime is 3561980843. The next prime is 3561980867. The reversal of 3561980856 is 6580891653.

3561980856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3561980799 and 3561980808.

It is a congruent number.

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, 6511575 + ... + 6512121.

It is an arithmetic number, because the mean of its divisors is an integer number (80786160).

Almost surely, 23561980856 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 3561980856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170314240).

3561980856 is an abundant number, since it is smaller than the sum of its proper divisors (6778647624).

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

3561980856 is a wasteful number, since it uses less digits than its factorization.

3561980856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The square root of 3561980856 is about 59682.3328632519. The cubic root of 3561980856 is about 1527.2044950939.

The spelling of 3561980856 in words is "three billion, five hundred sixty-one million, nine hundred eighty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 467 498 547 581 664 934 996 1094 1162 1401 1641 1743 1868 1992 2188 2324 2802 3269 3282 3486 3736 3829 4376 4648 5604 6538 6564 6972 7658 9807 11208 11487 13076 13128 13944 15316 19614 22974 26152 30632 38761 39228 45401 45948 77522 78456 90802 91896 116283 136203 155044 181604 232566 255449 271327 272406 310088 317807 363208 465132 510898 542654 544812 635614 766347 813981 930264 953421 1021796 1085308 1089624 1271228 1532694 1627962 1788143 1906842 2043592 2170616 2542456 3065388 3255924 3576286 3813684 5364429 6130776 6511848 7152572 7627368 10728858 14305144 21202267 21457716 42404534 42915432 63606801 84809068 127213602 148415869 169618136 254427204 296831738 445247607 508854408 593663476 890495214 1187326952 1780990428 3561980856